How do you simplify #4^-2 #?

2 Answers
Oct 28, 2015

#1/16#

Explanation:

Anything with a negative exponent is the inverse of it. So for example if I had #2^-2#, I would write it as #1/2^2#.

Now for your question:
#4^-2 = 1/4^2 = 1/16=0.0625#

Oct 28, 2015

The answer is #1/16#.

Explanation:

The negative sign in the -2 exponent implies that the number changes sides in a fraction. In other words, the #4^-2# would move to the denominator. It would simplify to #1/4^2#, or #1/16#.