Evaluate 4(3/2)^-1

$4 {(\frac{3}{2})}^{- 1}$

Step 1

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

$4 (\frac{2}{3})$

Step 2

Multiply $4 (\frac{2}{3})$ .

Combine $4$ and $\frac{2}{3}$ .

$\frac{4 \cdot 2}{3}$

Multiply $4$ by $2$ .

$\frac{8}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$