Question

Which number is equivalent to
`(3^4)/(3^2)`?

A. 2
B. 9
C. 81
D. 729

Answer 1

B. 9

Explanation:

When there are exponents with the same base in a fraction, they can be simplified by subtracting.

We can take out 2 on both the top and bottom, leaving us with 3^2 over 1

3x3 is 9 and 9/1 is still 9

Answer 2

9

Explanation:

Since the bases are the same, we can subtract the exponents to accomplish the division

a^b / a^c = a^ (b-c)

3^4 / 3^2

3^ (4-2)

3^2

9