1

Set 4: Exponential Functions (Intermediate)

Explanation

Answer: D

PROBLEM

Simplify: 2 to the power of 4 times 2 to the power of 5. Express as 2 to the power of what?

Simplify: 2 to the power of 4 times 2 to the power of 5. Express as 2 to the power of what?

A.

10

B.

8

C.

18

D.

9

✓ Correct

Detailed Explanation

Choice D is the best answer. 2 to the power of 4 times 2 to the power of 5 = 2 to the power of (4+5) = 2 to the power of 9

Why others are wrong:
A: 10 is incorrect because it does not satisfy the equation.
B: 8 is incorrect because it does not satisfy the equation.
C: 18 is incorrect because it does not satisfy the equation.