4

Set 5: Exponential Functions (Intermediate)

Explanation

Answer: C

PROBLEM

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

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

A.

7

B.

3

C.

5

✓ Correct
D.

4

Detailed Explanation

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

Why others are wrong:
A: 7 is incorrect because it does not satisfy the equation.
B: 3 is incorrect because it does not satisfy the equation.
D: 4 is incorrect because it does not satisfy the equation.