6

Set 3: Exponential Functions (Intermediate)

Explanation

Answer: A

PROBLEM

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

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

A.

7

✓ Correct
B.

9

C.

14

D.

3

Detailed Explanation

Choice A is the best answer. 4 to the power of 5 times 4 to the power of 2 = 4 to the power of (5+2) = 4 to the power of 7

Why others are wrong:
B: 9 is incorrect because it does not satisfy the equation.
C: 14 is incorrect because it does not satisfy the equation.
D: 3 is incorrect because it does not satisfy the equation.