9

Set 1: Exponential Functions (Advanced)

Explanation

Answer: B

PROBLEM

Simplify: (3 to the power of 4) to the power of 3. Express as 3 to the power of what?

Simplify: (3 to the power of 4) to the power of 3. Express as 3 to the power of what?

A.

10

B.

12

✓ Correct
C.

24

D.

14

Detailed Explanation

Choice B is the best answer. (3 to the power of 4) to the power of 3 = 3 to the power of (4 times 3) = 3 to the power of 12

Why others are wrong:
A: 10 is incorrect because it does not satisfy the equation.
C: 24 is incorrect because it does not satisfy the equation.
D: 14 is incorrect because it does not satisfy the equation.