Basic Math Examples

$\frac{(1.6 \cdot 10^{4}) (7.2 \cdot 10^{- 3})}{(3.6 \cdot 10^{8}) (4 \cdot 10^{- 3})}$

Step 1

Multiply $1.6$ by $7.2$ .

$\frac{11.52 (10^{4} \cdot 10^{- 3})}{(3.6 \cdot 10^{8}) (4 \cdot 10^{- 3})}$

Step 2

Multiply $10^{4}$ by $10^{- 3}$ by adding the exponents.

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Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{11.52 \cdot 10^{4 - 3}}{(3.6 \cdot 10^{8}) (4 \cdot 10^{- 3})}$

Step 2.2

Subtract $3$ from $4$ .

$\frac{11.52 \cdot 10^{1}}{(3.6 \cdot 10^{8}) (4 \cdot 10^{- 3})}$

Step 3

Simplify $10^{1}$ .

$\frac{11.52 \cdot 10}{(3.6 \cdot 10^{8}) (4 \cdot 10^{- 3})}$

Step 4

Multiply $3.6$ by $4$ .

$\frac{11.52 \cdot 10}{14.4 (10^{8} \cdot 10^{- 3})}$

Step 5

Multiply $10^{8}$ by $10^{- 3}$ by adding the exponents.

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Step 5.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{11.52 \cdot 10}{14.4 \cdot 10^{8 - 3}}$

Step 5.2

Subtract $3$ from $8$ .

$\frac{11.52 \cdot 10}{14.4 \cdot 10^{5}}$

Step 6

Cancel the common factor of $10$ and $10^{5}$ .

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Step 6.1

Factor $10$ out of $11.52 \cdot 10$ .

$\frac{10 (1.152 \cdot 10)}{14.4 \cdot 10^{5}}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $10$ out of $14.4 \cdot 10^{5}$ .

$\frac{10 (1.152 \cdot 10)}{10 \cdot 1.44 \cdot 10^{5}}$

Step 6.2.2

Cancel the common factor.

$\frac{10 (1.152 \cdot 10)}{10 \cdot 1.44 \cdot 10^{5}}$

Step 6.2.3

Rewrite the expression.

$\frac{1.152 \cdot 10}{1.44 \cdot 10^{5}}$

Step 7

Cancel the common factor of $10$ and $10^{5}$ .

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Step 7.1

Factor $10$ out of $1.152 \cdot 10$ .

$\frac{10 (0.1152 \cdot 10)}{1.44 \cdot 10^{5}}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $10$ out of $1.44 \cdot 10^{5}$ .

$\frac{10 (0.1152 \cdot 10)}{10 \cdot 0.144 \cdot 10^{5}}$

Step 7.2.2

Cancel the common factor.

$\frac{10 (0.1152 \cdot 10)}{10 \cdot 0.144 \cdot 10^{5}}$

Step 7.2.3

Rewrite the expression.

$\frac{0.1152 \cdot 10}{0.144 \cdot 10^{5}}$

Step 8

Cancel the common factor of $10$ and $10^{5}$ .

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Step 8.1

Factor $10$ out of $0.1152 \cdot 10$ .

$\frac{10 (0.01152 \cdot 10)}{0.144 \cdot 10^{5}}$

Step 8.2

Cancel the common factors.

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Step 8.2.1

Factor $10$ out of $0.144 \cdot 10^{5}$ .

$\frac{10 (0.01152 \cdot 10)}{10 \cdot 0.0144 \cdot 10^{5}}$

Step 8.2.2

Cancel the common factor.

$\frac{10 (0.01152 \cdot 10)}{10 \cdot 0.0144 \cdot 10^{5}}$

Step 8.2.3

Rewrite the expression.

$\frac{0.01152 \cdot 10}{0.0144 \cdot 10^{5}}$

Step 9

Cancel the common factor of $10$ and $10^{5}$ .

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Step 9.1

Factor $10$ out of $0.01152 \cdot 10$ .

$\frac{10 (0.001152 \cdot 10)}{0.0144 \cdot 10^{5}}$

Step 9.2

Cancel the common factors.

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Step 9.2.1

Factor $10$ out of $0.0144 \cdot 10^{5}$ .

$\frac{10 (0.001152 \cdot 10)}{10 \cdot 0.00144 \cdot 10^{5}}$

Step 9.2.2

Cancel the common factor.

$\frac{10 (0.001152 \cdot 10)}{10 \cdot 0.00144 \cdot 10^{5}}$

Step 9.2.3

Rewrite the expression.

$\frac{0.001152 \cdot 10}{0.00144 \cdot 10^{5}}$

Step 10

Cancel the common factor of $10$ and $10^{5}$ .

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Step 10.1

Factor $10$ out of $0.001152 \cdot 10$ .

$\frac{10 (0.0001152 \cdot 10)}{0.00144 \cdot 10^{5}}$

Step 10.2

Cancel the common factors.

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Step 10.2.1

Factor $10$ out of $0.00144 \cdot 10^{5}$ .

$\frac{10 (0.0001152 \cdot 10)}{10 \cdot 0.000144 \cdot 10^{5}}$

Step 10.2.2

Cancel the common factor.

$\frac{10 (0.0001152 \cdot 10)}{10 \cdot 0.000144 \cdot 10^{5}}$

Step 10.2.3

Rewrite the expression.

$\frac{0.0001152 \cdot 10}{0.000144 \cdot 10^{5}}$

Step 11

Cancel the common factor of $10$ and $10^{5}$ .

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Step 11.1

Factor $10$ out of $0.0001152 \cdot 10$ .

$\frac{10 (0.00001152 \cdot 10)}{0.000144 \cdot 10^{5}}$

Step 11.2

Cancel the common factors.

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Step 11.2.1

Factor $10$ out of $0.000144 \cdot 10^{5}$ .

$\frac{10 (0.00001152 \cdot 10)}{10 \cdot 0.0000144 \cdot 10^{5}}$

Step 11.2.2

Cancel the common factor.

$\frac{10 (0.00001152 \cdot 10)}{10 \cdot 0.0000144 \cdot 10^{5}}$

Step 11.2.3

Rewrite the expression.

$\frac{0.00001152 \cdot 10}{0.0000144 \cdot 10^{5}}$

Step 12

Cancel the common factor of $10$ and $10^{5}$ .

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Step 12.1

Factor $10$ out of $0.00001152 \cdot 10$ .

$\frac{10 (0.00000115 \cdot 10)}{0.0000144 \cdot 10^{5}}$

Step 12.2

Cancel the common factors.

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Step 12.2.1

Factor $10$ out of $0.0000144 \cdot 10^{5}$ .

$\frac{10 (0.00000115 \cdot 10)}{10 \cdot 0.00000144 \cdot 10^{5}}$

Step 12.2.2

Cancel the common factor.

$\frac{10 (0.00000115 \cdot 10)}{10 \cdot 0.00000144 \cdot 10^{5}}$

Step 12.2.3

Rewrite the expression.

$\frac{0.00000115 \cdot 10}{0.00000144 \cdot 10^{5}}$

Step 13

Cancel the common factor of $10$ and $10^{5}$ .

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Step 13.1

Factor $10$ out of $0.00000115 \cdot 10$ .

$\frac{10 (0.00000011 \cdot 10)}{0.00000144 \cdot 10^{5}}$

Step 13.2

Cancel the common factors.

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Step 13.2.1

Factor $10$ out of $0.00000144 \cdot 10^{5}$ .

$\frac{10 (0.00000011 \cdot 10)}{10 \cdot 0.00000014 \cdot 10^{5}}$

Step 13.2.2

Cancel the common factor.

$\frac{10 (0.00000011 \cdot 10)}{10 \cdot 0.00000014 \cdot 10^{5}}$

Step 13.2.3

Rewrite the expression.

$\frac{0.00000011 \cdot 10}{0.00000014 \cdot 10^{5}}$

Step 14

Cancel the common factor of $10$ and $10^{5}$ .

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Step 14.1

Factor $10$ out of $0.00000011 \cdot 10$ .

$\frac{10 (0.00000001 \cdot 10)}{0.00000014 \cdot 10^{5}}$

Step 14.2

Cancel the common factors.

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Step 14.2.1

Factor $10$ out of $0.00000014 \cdot 10^{5}$ .

$\frac{10 (0.00000001 \cdot 10)}{10 \cdot 0.00000001 \cdot 10^{5}}$

Step 14.2.2

Cancel the common factor.

$\frac{10 (0.00000001 \cdot 10)}{10 \cdot 0.00000001 \cdot 10^{5}}$

Step 14.2.3

Rewrite the expression.

$\frac{0.00000001 \cdot 10}{0.00000001 \cdot 10^{5}}$

Step 15

Cancel the common factor of $10$ and $10^{5}$ .

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Step 15.1

Factor $10$ out of $0.00000001 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0.00000001 \cdot 10^{5}}$

Step 15.2

Cancel the common factors.

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Step 15.2.1

Factor $10$ out of $0.00000001 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 15.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 15.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 16

Cancel the common factor of $10$ and $10^{5}$ .

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Step 16.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 16.2

Cancel the common factors.

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Step 16.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 16.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 16.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 17

Cancel the common factor of $10$ and $10^{5}$ .

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Step 17.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 17.2

Cancel the common factors.

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Step 17.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 17.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 17.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 18

Cancel the common factor of $10$ and $10^{5}$ .

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Step 18.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 18.2

Cancel the common factors.

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Step 18.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 18.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 18.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 19

Cancel the common factor of $10$ and $10^{5}$ .

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Step 19.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 19.2

Cancel the common factors.

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Step 19.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 19.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 19.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 20

Cancel the common factor of $10$ and $10^{5}$ .

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Step 20.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 20.2

Cancel the common factors.

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Step 20.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 20.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 20.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 21

Cancel the common factor of $10$ and $10^{5}$ .

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Step 21.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 21.2

Cancel the common factors.

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Step 21.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 21.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 21.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 22

Cancel the common factor of $10$ and $10^{5}$ .

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Step 22.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 22.2

Cancel the common factors.

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Step 22.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 22.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 22.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 23

Cancel the common factor of $10$ and $10^{5}$ .

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Step 23.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 23.2

Cancel the common factors.

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Step 23.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 23.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 23.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 24

Cancel the common factor of $10$ and $10^{5}$ .

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Step 24.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 24.2

Cancel the common factors.

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Step 24.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 24.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 24.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 25

Cancel the common factor of $10$ and $10^{5}$ .

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Step 25.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 25.2

Cancel the common factors.

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Step 25.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 25.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 25.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 26

Cancel the common factor of $10$ and $10^{5}$ .

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Step 26.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 26.2

Cancel the common factors.

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Step 26.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 26.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 26.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 27

Cancel the common factor of $10$ and $10^{5}$ .

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Step 27.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 27.2

Cancel the common factors.

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Step 27.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 27.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 27.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 28

Cancel the common factor of $10$ and $10^{5}$ .

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Step 28.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 28.2

Cancel the common factors.

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Step 28.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 28.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 28.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 29

Cancel the common factor of $10$ and $10^{5}$ .

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Step 29.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 29.2

Cancel the common factors.

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Step 29.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 29.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 29.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 30

Cancel the common factor of $10$ and $10^{5}$ .

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Step 30.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 30.2

Cancel the common factors.

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Step 30.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 30.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 30.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 31

Cancel the common factor of $10$ and $10^{5}$ .

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Step 31.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 31.2

Cancel the common factors.

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Step 31.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 31.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 31.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 32

Cancel the common factor of $10$ and $10^{5}$ .

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Step 32.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 32.2

Cancel the common factors.

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Step 32.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 32.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 32.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 33

Cancel the common factor of $10$ and $10^{5}$ .

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Step 33.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 33.2

Cancel the common factors.

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Step 33.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 33.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 33.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 34

Cancel the common factor of $10$ and $10^{5}$ .

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Step 34.1

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{0 \cdot 10^{5}}$

Step 34.2

Cancel the common factors.

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Step 34.2.1

Factor $10$ out of $0 \cdot 10^{5}$ .

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 34.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 \cdot 0 \cdot 10^{5}}$

Step 34.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 35

Cancel the common factor of $0$ .

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Step 35.1

Cancel the common factor.

$\frac{0 \cdot 10}{0 \cdot 10^{5}}$

Step 35.2

Rewrite the expression.

$\frac{10}{10^{5}}$

Step 36

Cancel the common factor of $10$ and $10^{5}$ .

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Step 36.1

Factor $10$ out of $10$ .

$\frac{10 (1)}{10^{5}}$

Step 36.2

Cancel the common factors.

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Step 36.2.1

Factor $10$ out of $10^{5}$ .

$\frac{10 (1)}{10 \cdot 10^{4}}$

Step 36.2.2

Cancel the common factor.

$\frac{10 \cdot 1}{10 \cdot 10^{4}}$

Step 36.2.3

Rewrite the expression.

$\frac{1}{10^{4}}$

Step 37

Raise $10$ to the power of $4$ .

$\frac{1}{10000}$

Step 38

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10000}$

Decimal Form:

$0.0001$