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Evaluate (-11/14)^5

${(\frac{- 11}{14})}^{5}$

Step 1

Move the negative in front of the fraction.

${(- \frac{11}{14})}^{5}$

Step 2

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

Apply the product rule to $- \frac{11}{14}$ .

${(- 1)}^{5} {(\frac{11}{14})}^{5}$

Apply the product rule to $\frac{11}{14}$ .

${(- 1)}^{5} \frac{11^{5}}{14^{5}}$

${(- 1)}^{5} \frac{11^{5}}{14^{5}}$

Step 3

Raise $- 1$ to the power of $5$ .

$- \frac{11^{5}}{14^{5}}$

Step 4

Raise $11$ to the power of $5$ .

$- \frac{161051}{14^{5}}$

Step 5

Raise $14$ to the power of $5$ .

$- \frac{161051}{537824}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{161051}{537824}$

Decimal Form:

$- 0.29944926 \dots$

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