9

Set 4: Exponential Functions (Intermediate)

Explanation

Answer: B

PROBLEM

Recent studies show that simplify: 5 to the power of 4 times 5 to the power of 3. Express as 5 to the power of what?

Simplify: 5 to the power of 4 times 5 to the power of 3. Express as 5 to the power of what?

A.

5

B.

7

✓ Correct
C.

9

D.

8

Detailed Explanation

[Variation 1] Choice B is the best answer. 5 to the power of 4 times 5 to the power of 3 = 5 to the power of (4+3) = 5 to the power of 7

Why others are wrong:
A: 5 is incorrect because it does not satisfy the equation.
C: 9 is incorrect because it does not satisfy the equation.
D: 8 is incorrect because it does not satisfy the equation.