7

Set 3: Exponential Functions (Intermediate)

Explanation

Answer: B

PROBLEM

Simplify: 5 to the power of 2 times 5 to the power of 3. Express as 5 to the power of what?

Simplify: 5 to the power of 2 times 5 to the power of 3. Express as 5 to the power of what?

A.

7

B.

5

✓ Correct
C.

3

D.

2

Detailed Explanation

Choice B is the best answer. 5 to the power of 2 times 5 to the power of 3 = 5 to the power of (2+3) = 5 to the power of 5

Why others are wrong:
A: 7 is incorrect because it does not satisfy the equation.
C: 3 is incorrect because it does not satisfy the equation.
D: 2 is incorrect because it does not satisfy the equation.