Evaluate (2/3)^-3

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

Step 1

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

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

Step 2

Apply the product rule to $\frac{3}{2}$ .

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

Step 3

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

$\frac{27}{2^{3}}$

Step 4

Raise $2$ to the power of $3$ .

$\frac{27}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{27}{8}$

Decimal Form:

$3.375$

Mixed Number Form:

$3 \frac{3}{8}$