Question

Simplify (4/5)^-2 . Show your work!

Answer 1

Answer:

$\frac{25}{16}$

Step-by-step explanation:

Apply exponent rule: $x^{-y}=\frac{1}{x^y}$

$(\frac{4}{5}) ^{-2}=\frac{1}{\left(\frac{4}{5}\right)^2}=\frac{1}{\frac{16}{25}}=\frac{25}{16}$