How do you simplify 16^(-3/4)?

1 Answer
Apr 9, 2015

1/8

Explanation:

Firstly, you should change the 16 into the simplest base-power form.

16=2^4

16^(-3/4) = (2^4)^(-3/4)

As we remember, the formula of multiplying powers, where
(a^m)^n = a^(mn)

Therefore,
(2^4)^(-3/4) = 2^(-12/4)=2^-3

Here we can apply the Indew law of a^-n=1/a^n
Hence, 2^-3=1/2^3=1/8

16^(-3/4)=1/8