5

Set 5: Exponential Functions (Intermediate)

Explanation

Answer: D

PROBLEM

Recent studies show that simplify: 2 to the power of 3 times 2 to the power of 2. Express as 2 to the power of what?

Simplify: 2 to the power of 3 times 2 to the power of 2. Express as 2 to the power of what?

A.

4

B.

6

C.

2

D.

5

✓ Correct

Detailed Explanation

[Variation 1] Choice D is the best answer. 2 to the power of 3 times 2 to the power of 2 = 2 to the power of (3+2) = 2 to the power of 5

Why others are wrong:
A: 4 is incorrect because it does not satisfy the equation.
B: 6 is incorrect because it does not satisfy the equation.
C: 2 is incorrect because it does not satisfy the equation.