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

1 Answer
May 13, 2018

This is a law of exponents
(a/b)^(-m)=(b/a)^m

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

This is also a law of exponents
(a/b)^m=(a^m)/(b^m)

This gives
(4^2)/(3^2)
16/9
1.77777777777777777777777777777....