Evaluate (5/6)^-3

${(\frac{5}{6})}^{- 3}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

${(\frac{6}{5})}^{3}$

Step 2

Apply the product rule to $\frac{6}{5}$ .

$\frac{6^{3}}{5^{3}}$

Step 3

Raise $6$ to the power of $3$ .

$\frac{216}{5^{3}}$

Step 4

Raise $5$ to the power of $3$ .

$\frac{216}{125}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{216}{125}$

Decimal Form:

$1.728$

Mixed Number Form:

$1 \frac{91}{125}$