6

Set 5: Exponential Functions (Intermediate)

Explanation

Answer: A

PROBLEM

Simplify: 3 to the power of 3 times 3 to the power of 5. Express as 3 to the power of what?

Simplify: 3 to the power of 3 times 3 to the power of 5. Express as 3 to the power of what?

A.

8

✓ Correct
B.

6

C.

7

D.

16

Detailed Explanation

Choice A is the best answer. 3 to the power of 3 times 3 to the power of 5 = 3 to the power of (3+5) = 3 to the power of 8

Why others are wrong:
B: 6 is incorrect because it does not satisfy the equation.
C: 7 is incorrect because it does not satisfy the equation.
D: 16 is incorrect because it does not satisfy the equation.