Basic Math Examples

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

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

Step 1

Move the negative in front of the fraction.

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

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

Step 2

Use the power rule

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

${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 2.1

Apply the product rule to

- \frac{1}{2}

$- \frac{1}{2}$ .

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

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

Step 2.2

Apply the product rule to

\frac{1}{2}

$\frac{1}{2}$ .

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

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

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

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

Step 3

Raise

- 1

$- 1$ to the power of

3

$3$ .

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

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

Step 4

One to any power is one.

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

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

Step 5

Raise

2

$2$ to the power of

3

$3$ .

- \frac{1}{8}

$- \frac{1}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{1}{8}

$- \frac{1}{8}$

Decimal Form:

- 0.125

$- 0.125$