Evaluate 2(2/5)^-1

$2 {(\frac{2}{5})}^{- 1}$

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

$2 (\frac{5}{2})$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 (\frac{5}{2})$

Rewrite the expression.

$5$