Pre-Algebra Examples

${(8^{4})}^{- 16}$

Step 1

Multiply the exponents in ${(8^{4})}^{- 16}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$8^{4 \cdot - 16}$

Step 1.2

Multiply $4$ by $- 16$ .

$8^{- 64}$

Step 2

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

$\frac{1}{8^{64}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8^{64}}$

Decimal Form:

$1.59309191 \cdot 10^{- 58}$