Precalculus Examples

${(2^{- 1})}^{3}$

Step 1

Multiply the exponents in ${(2^{- 1})}^{3}$ .

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Step 1.1

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

$2^{- 1 \cdot 3}$

Step 1.2

Multiply $- 1$ by $3$ .

$2^{- 3}$

Step 2

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

$\frac{1}{2^{3}}$

Step 3

Raise $2$ to the power of $3$ .

$\frac{1}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$

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