Examples

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

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

Step 1

Multiply the exponents in

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

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

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Step 1.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

2^{- 1 \cdot 3}

$2^{- 1 \cdot 3}$

Step 1.2

Multiply

- 1

$- 1$ by

3

$3$ .

2^{- 3}

$2^{- 3}$

2^{- 3}

$2^{- 3}$

Step 2

Rewrite the expression using the negative exponent rule

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

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

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

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

Step 3

Raise

2

$2$ to the power of

3

$3$ .

\frac{1}{8}

$\frac{1}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{8}

$\frac{1}{8}$

Decimal Form:

0.125

$0.125$

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