Question

Write 9⁴ as a power of 3.​

Answer 1

3^8

Explanation:

9^4 = 9*9*9*9

9 = 3*3

9^4 = (3*3)*(3*3)*(3*3)*(3*3)

9^4 = 3*3*3*3*3*3*3*3 = 3^8

or, more simply

9 = 3^2

9^4 = (3^2)^4

we use (x^y)^z = x^(y*z)

(3^2)^4 = 3^(2*4) = 3^8