Algebra Examples

$\frac{(2 \cdot 10^{4}) (1.9 \cdot 10^{- 3})}{(1.044) (500)}$

Step 1

Multiply $2$ by $1.9$ .

$\frac{3.8 (10^{4} \cdot 10^{- 3})}{(1.044) (500)}$

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.

$\frac{3.8 \cdot 10^{4 - 3}}{(1.044) (500)}$

Step 2.2

Subtract $3$ from $4$ .

$\frac{3.8 \cdot 10^{1}}{(1.044) (500)}$

Step 3

Simplify $10^{1}$ .

$\frac{3.8 \cdot 10}{(1.044) (500)}$

Step 4

Cancel the common factor of $10$ and $500$ .

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Step 4.1

Factor $10$ out of $3.8 \cdot 10$ .

$\frac{10 (0.38 \cdot 10)}{(1.044) (500)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $10$ out of $(1.044) (500)$ .

$\frac{10 (0.38 \cdot 10)}{10 ((0.1044) \cdot 500)}$

Step 4.2.2

Cancel the common factor.

$\frac{10 (0.38 \cdot 10)}{10 ((0.1044) \cdot 500)}$

Step 4.2.3

Rewrite the expression.

$\frac{0.38 \cdot 10}{(0.1044) \cdot 500}$

Step 5

Cancel the common factor of $10$ and $500$ .

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Step 5.1

Factor $10$ out of $0.38 \cdot 10$ .

$\frac{10 (0.038 \cdot 10)}{(0.1044) \cdot 500}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $10$ out of $(0.1044) \cdot 500$ .

$\frac{10 (0.038 \cdot 10)}{10 ((0.01044) \cdot 500)}$

Step 5.2.2

Cancel the common factor.

$\frac{10 (0.038 \cdot 10)}{10 ((0.01044) \cdot 500)}$

Step 5.2.3

Rewrite the expression.

$\frac{0.038 \cdot 10}{(0.01044) \cdot 500}$

Step 6

Cancel the common factor of $10$ and $500$ .

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Step 6.1

Factor $10$ out of $0.038 \cdot 10$ .

$\frac{10 (0.0038 \cdot 10)}{(0.01044) \cdot 500}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $10$ out of $(0.01044) \cdot 500$ .

$\frac{10 (0.0038 \cdot 10)}{10 ((0.001044) \cdot 500)}$

Step 6.2.2

Cancel the common factor.

$\frac{10 (0.0038 \cdot 10)}{10 ((0.001044) \cdot 500)}$

Step 6.2.3

Rewrite the expression.

$\frac{0.0038 \cdot 10}{(0.001044) \cdot 500}$

Step 7

Cancel the common factor of $10$ and $500$ .

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Step 7.1

Factor $10$ out of $0.0038 \cdot 10$ .

$\frac{10 (0.00038 \cdot 10)}{(0.001044) \cdot 500}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $10$ out of $(0.001044) \cdot 500$ .

$\frac{10 (0.00038 \cdot 10)}{10 ((0.0001044) \cdot 500)}$

Step 7.2.2

Cancel the common factor.

$\frac{10 (0.00038 \cdot 10)}{10 ((0.0001044) \cdot 500)}$

Step 7.2.3

Rewrite the expression.

$\frac{0.00038 \cdot 10}{(0.0001044) \cdot 500}$

Step 8

Cancel the common factor of $10$ and $500$ .

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Step 8.1

Factor $10$ out of $0.00038 \cdot 10$ .

$\frac{10 (0.000038 \cdot 10)}{(0.0001044) \cdot 500}$

Step 8.2

Cancel the common factors.

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Step 8.2.1

Factor $10$ out of $(0.0001044) \cdot 500$ .

$\frac{10 (0.000038 \cdot 10)}{10 ((0.00001044) \cdot 500)}$

Step 8.2.2

Cancel the common factor.

$\frac{10 (0.000038 \cdot 10)}{10 ((0.00001044) \cdot 500)}$

Step 8.2.3

Rewrite the expression.

$\frac{0.000038 \cdot 10}{(0.00001044) \cdot 500}$

Step 9

Cancel the common factor of $10$ and $500$ .

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Step 9.1

Factor $10$ out of $0.000038 \cdot 10$ .

$\frac{10 (0.0000038 \cdot 10)}{(0.00001044) \cdot 500}$

Step 9.2

Cancel the common factors.

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Step 9.2.1

Factor $10$ out of $(0.00001044) \cdot 500$ .

$\frac{10 (0.0000038 \cdot 10)}{10 ((0.00000104) \cdot 500)}$

Step 9.2.2

Cancel the common factor.

$\frac{10 (0.0000038 \cdot 10)}{10 ((0.00000104) \cdot 500)}$

Step 9.2.3

Rewrite the expression.

$\frac{0.0000038 \cdot 10}{(0.00000104) \cdot 500}$

Step 10

Cancel the common factor of $10$ and $500$ .

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Step 10.1

Factor $10$ out of $0.0000038 \cdot 10$ .

$\frac{10 (0.00000038 \cdot 10)}{(0.00000104) \cdot 500}$

Step 10.2

Cancel the common factors.

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Step 10.2.1

Factor $10$ out of $(0.00000104) \cdot 500$ .

$\frac{10 (0.00000038 \cdot 10)}{10 ((0.0000001) \cdot 500)}$

Step 10.2.2

Cancel the common factor.

$\frac{10 (0.00000038 \cdot 10)}{10 ((0.0000001) \cdot 500)}$

Step 10.2.3

Rewrite the expression.

$\frac{0.00000038 \cdot 10}{(0.0000001) \cdot 500}$

Step 11

Cancel the common factor of $10$ and $500$ .

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Step 11.1

Factor $10$ out of $0.00000038 \cdot 10$ .

$\frac{10 (0.00000003 \cdot 10)}{(0.0000001) \cdot 500}$

Step 11.2

Cancel the common factors.

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Step 11.2.1

Factor $10$ out of $(0.0000001) \cdot 500$ .

$\frac{10 (0.00000003 \cdot 10)}{10 ((0.00000001) \cdot 500)}$

Step 11.2.2

Cancel the common factor.

$\frac{10 (0.00000003 \cdot 10)}{10 ((0.00000001) \cdot 500)}$

Step 11.2.3

Rewrite the expression.

$\frac{0.00000003 \cdot 10}{(0.00000001) \cdot 500}$

Step 12

Cancel the common factor of $10$ and $500$ .

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Step 12.1

Factor $10$ out of $0.00000003 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0.00000001) \cdot 500}$

Step 12.2

Cancel the common factors.

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Step 12.2.1

Factor $10$ out of $(0.00000001) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 12.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 12.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 13

Cancel the common factor of $10$ and $500$ .

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Step 13.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 13.2

Cancel the common factors.

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Step 13.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 13.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 13.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 14

Cancel the common factor of $10$ and $500$ .

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Step 14.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 14.2

Cancel the common factors.

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Step 14.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 14.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 14.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 15

Cancel the common factor of $10$ and $500$ .

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Step 15.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 15.2

Cancel the common factors.

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Step 15.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 15.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 15.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 16

Cancel the common factor of $10$ and $500$ .

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Step 16.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 16.2

Cancel the common factors.

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Step 16.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 16.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 16.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 17

Cancel the common factor of $10$ and $500$ .

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Step 17.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 17.2

Cancel the common factors.

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Step 17.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 17.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 17.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 18

Cancel the common factor of $10$ and $500$ .

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Step 18.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 18.2

Cancel the common factors.

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Step 18.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 18.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 18.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 19

Cancel the common factor of $10$ and $500$ .

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Step 19.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 19.2

Cancel the common factors.

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Step 19.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 19.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 19.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 20

Cancel the common factor of $10$ and $500$ .

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Step 20.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 20.2

Cancel the common factors.

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Step 20.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 20.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 20.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 21

Cancel the common factor of $10$ and $500$ .

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Step 21.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 21.2

Cancel the common factors.

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Step 21.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 21.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 21.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 22

Cancel the common factor of $10$ and $500$ .

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Step 22.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 22.2

Cancel the common factors.

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Step 22.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 22.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 22.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 23

Cancel the common factor of $10$ and $500$ .

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Step 23.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 23.2

Cancel the common factors.

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Step 23.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 23.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 23.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 24

Cancel the common factor of $10$ and $500$ .

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Step 24.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 24.2

Cancel the common factors.

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Step 24.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 24.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 24.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 25

Cancel the common factor of $10$ and $500$ .

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Step 25.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 25.2

Cancel the common factors.

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Step 25.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 25.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 25.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 26

Cancel the common factor of $10$ and $500$ .

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Step 26.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 26.2

Cancel the common factors.

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Step 26.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 26.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 26.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 27

Cancel the common factor of $10$ and $500$ .

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Step 27.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 27.2

Cancel the common factors.

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Step 27.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 27.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 27.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 28

Cancel the common factor of $10$ and $500$ .

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Step 28.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 28.2

Cancel the common factors.

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Step 28.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 28.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 28.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 29

Cancel the common factor of $10$ and $500$ .

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Step 29.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 29.2

Cancel the common factors.

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Step 29.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 29.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 29.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 30

Cancel the common factor of $10$ and $500$ .

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Step 30.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 30.2

Cancel the common factors.

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Step 30.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 30.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 30.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 31

Cancel the common factor of $10$ and $500$ .

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Step 31.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 31.2

Cancel the common factors.

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Step 31.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 31.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 31.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 32

Cancel the common factor of $10$ and $500$ .

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Step 32.1

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

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Step 32.2

Cancel the common factors.

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Step 32.2.1

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 32.2.2

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Step 32.2.3

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 33

Multiply by zero.

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Step 33.1

Multiply $0$ by $10$ .

$\frac{0}{(0) \cdot 500}$

Step 33.2

Multiply $0$ by $500$ .

$\frac{0}{0}$

Step 33.3

The expression contains a division by $0$ . The expression is undefined.

Undefined

$\frac{0}{0}$

Step 34

The expression contains a division by $0$ . The expression is undefined.

Undefined