Basic Math Examples

$10^{3} \cdot 10^{- 5} \div 10^{- 2} \cdot 10^{- 4}$

Step 1

Multiply $10^{3}$ by $10^{- 5}$ by adding the exponents.

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Step 1.1

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

$10^{3 - 5} \div 10^{- 2} \cdot 10^{- 4}$

Step 1.2

Subtract $5$ from $3$ .

$10^{- 2} \div 10^{- 2} \cdot 10^{- 4}$

Step 2

Cancel the common factor of $10^{- 2}$ .

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Step 2.1

Cancel the common factor.

$10^{- 2} \div 10^{- 2} \cdot 10^{- 4}$

Step 2.2

Rewrite the expression.

$1 \cdot 10^{- 4}$

Step 3

Multiply $10^{- 4}$ by $1$ .

$10^{- 4}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 5

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

$\frac{1}{10000}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10000}$

Decimal Form:

$0.0001$