2

Set 3: Exponential Functions (Intermediate)

Explanation

Answer: D

PROBLEM

Simplify: 2 to the power of 5 times 2 to the power of 2. Express as 2 to the power of what?

Simplify: 2 to the power of 5 times 2 to the power of 2. Express as 2 to the power of what?

A.

3

B.

9

C.

6

D.

7

✓ Correct

Detailed Explanation

Choice D is the best answer. 2 to the power of 5 times 2 to the power of 2 = 2 to the power of (5+2) = 2 to the power of 7

Why others are wrong:
A: 3 is incorrect because it does not satisfy the equation.
B: 9 is incorrect because it does not satisfy the equation.
C: 6 is incorrect because it does not satisfy the equation.