Question

Evaluating a Power of a Power
Determine the value of the variables when simplifying and evaluating the expression (302)0 .

What is the value of m in the simplified power?
(302)0= 30m
m =
 

What is the value of (302)0?

(302)0 =

Answer 1

Use the rule (a^b)^c = a^(bc). Here (30^2)^0 = 30^(2·0) = 30^0, so m = 0.

Any nonzero number to the 0 power is 1, so (30^2)^0 = 1.