Basic Math Examples

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

Step 1

Move

$10^{- 2}$ to the denominator using the negative exponent rule

$b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{10^{2} \cdot 10^{2}}$

Step 2

Multiply

$10^{2}$ by

$10^{2}$ 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.

$\frac{1}{10^{2 + 2}}$

Step 2.2

Add

$2$ and

$2$ .

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

Step 3

Raise

$10$ to the power of

$4$ .

$\frac{1}{10000}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10000}$

Decimal Form:

$0.0001$