Basic Math Examples

$\frac{10^{- 2}}{10^{- 4}}$

Step 1

Move $10^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 2

Multiply $10^{- 2}$ by $10^{4}$ 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.

$10^{- 2 + 4}$

Step 2.2

Add $- 2$ and $4$ .

$10^{2}$

Step 3

Raise $10$ to the power of $2$ .

$100$