Evaluate 4(2/3)^-1

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

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

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$2 \cdot 3$

Multiply $2$ by $3$ .

$6$