# How do you simplify (2/5)^-2 and write it using only positive exponents?

Jun 6, 2017

${\left(\frac{5}{2}\right)}^{2}$

#### Explanation:

You can change a negative exponent to a positive exponent by getting the reciprocal of the base.

${a}^{b} = \frac{1}{a} ^ - b$

This can also be reversed.

${a}^{-} b = \frac{1}{a} ^ b$