Question

Which of these is equivalent to 3^2 ? Select all that apply

Answer 1

D, E &F

Explanation:

Lets's go down the list and evaluate each choice

A. (3^8) / (3^4) = 3^ (8-4) = 3^4 (≠ 3^2)

B. 6²/2 = (2 x 3)²/2 = (2²·3²)/2 = 4·3²/2 = 2.3² (≠ 3^2)

C. (3^5) ·(3^3) = 3^ (5+3) = 3^8 (≠ 3^2)

D 3·3 = 3^2 (Answer)

E. (3^12) / (3^10) = 3^ (12 -10) = 3^2 (Answer)

F. (3^-3) / (3^-5) = 3^ [ -3 -(-5) ] = 3^ (-3 + 5) = 3^2 (Answer)