Question

Which number is equivalent to }{3^2}" alt="\frac{3^4}{3^2}" align="absmiddle" class="latex-formula">?
A. 2
B. 9
C. 81
D. 729

Answer 1

Answer:

B. 9

Step-by-step 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

Answer:

9

Step-by-step 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