Pre-Algebra Examples

${(- \frac{4}{7})}^{3}$

Step 1

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

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Step 1.1

Apply the product rule to $- \frac{4}{7}$ .

${(- 1)}^{3} {(\frac{4}{7})}^{3}$

Step 1.2

Apply the product rule to $\frac{4}{7}$ .

${(- 1)}^{3} \frac{4^{3}}{7^{3}}$

Step 2

Raise $- 1$ to the power of $3$ .

$- \frac{4^{3}}{7^{3}}$

Step 3

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

$- \frac{64}{7^{3}}$

Step 4

Raise $7$ to the power of $3$ .

$- \frac{64}{343}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{64}{343}$

Decimal Form:

$- 0.18658892 \dots$