Algebra Examples

$4^{- 3} {(8)}^{2}$

Step 1

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

$\frac{1}{4^{3}} {(8)}^{2}$

Step 2

Evaluate the exponents.

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Step 2.1

Raise $4$ to the power of $3$ .

$\frac{1}{64} {(8)}^{2}$

Step 2.2

Raise $8$ to the power of $2$ .

$\frac{1}{64} \cdot 64$

Step 3

Cancel the common factor of $64$ .

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Step 3.1

Cancel the common factor.

$\frac{1}{64} \cdot 64$

Step 3.2

Rewrite the expression.

$1$