# How do you simplify (3/4) ^-2?

##### 1 Answer
May 13, 2018

This is a law of exponents
${\left(\frac{a}{b}\right)}^{- m} = {\left(\frac{b}{a}\right)}^{m}$

Here
$a = 3$
$b = 4$
$- m = - 2$
 ( 3 / 4 ) ^ (− 2)=(4/3)^2

This is also a law of exponents
${\left(\frac{a}{b}\right)}^{m} = \frac{{a}^{m}}{{b}^{m}}$

This gives
$\frac{{4}^{2}}{{3}^{2}}$
$\frac{16}{9}$
$1.77777777777777777777777777777 \ldots .$