1

Set 3: Exponential Functions (Advanced)

Explanation

Answer: D

PROBLEM

Recent studies show that simplify: (4 to the power of 2) to the power of 4. Express as 4 to the power of what?

Simplify: (4 to the power of 2) to the power of 4. Express as 4 to the power of what?

A.

9

B.

6

C.

4

D.

8

✓ Correct

Detailed Explanation

[Variation 1] Choice D is the best answer. (4 to the power of 2) to the power of 4 = 4 to the power of (2 times 4) = 4 to the power of 8

Why others are wrong:
A: 9 is incorrect because it does not satisfy the equation.
B: 6 is incorrect because it does not satisfy the equation.
C: 4 is incorrect because it does not satisfy the equation.