Question

Explain why 9^4 = 3^8.

Answer 1

9^4=3^8

It is bcoz if we multiply 9*9*9*9 then the result will be 6561 and if we multiply 3 to 8 times then the result will be 6561.

so both are same.Thus,9^4=3^8

Answer 2

9^4 = [3^2]^4 = 3^8

Explanation:

9^4 can be re-written with 3 as the base:

9^4 = [3^2]^4 = 3^8