10

Set 5: Exponential Functions (Intermediate)

Explanation

Answer: B

PROBLEM

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

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

A.

4

B.

9

✓ Correct
C.

7

D.

18

Detailed Explanation

Choice B is the best answer. 5 to the power of 4 times 5 to the power of 5 = 5 to the power of (4+5) = 5 to the power of 9

Why others are wrong:
A: 4 is incorrect because it does not satisfy the equation.
C: 7 is incorrect because it does not satisfy the equation.
D: 18 is incorrect because it does not satisfy the equation.

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