3

Set 5: Exponential Functions (Intermediate)

Explanation

Answer: C

PROBLEM

Simplify: 5 to the power of 2 times 5 to the power of 4. Express as 5 to the power of what?

Simplify: 5 to the power of 2 times 5 to the power of 4. Express as 5 to the power of what?

A.

5

B.

4

C.

6

✓ Correct
D.

12

Detailed Explanation

Choice C is the best answer. 5 to the power of 2 times 5 to the power of 4 = 5 to the power of (2+4) = 5 to the power of 6

Why others are wrong:
A: 5 is incorrect because it does not satisfy the equation.
B: 4 is incorrect because it does not satisfy the equation.
D: 12 is incorrect because it does not satisfy the equation.