Evaluate (10^-2)/(10^2)

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

Move $10^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Multiply $10^{2}$ by $10^{2}$ by adding the exponents.

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

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

Add $2$ and $2$ .

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

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

$\frac{1}{10000}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10000}$

Decimal Form:

$0.0001$

Evaluate (10^-2)/(10^2)

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