7

Set 4: Exponential Functions (Intermediate)

Explanation

Answer: B

PROBLEM

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

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

A.

9

B.

7

✓ Correct
C.

8

D.

3

Detailed Explanation

Choice B is the best answer. 4 to the power of 3 times 4 to the power of 4 = 4 to the power of (3+4) = 4 to the power of 7

Why others are wrong:
A: 9 is incorrect because it does not satisfy the equation.
C: 8 is incorrect because it does not satisfy the equation.
D: 3 is incorrect because it does not satisfy the equation.