7

Set 3: Exponential Functions (Advanced)

Explanation

Answer: D

PROBLEM

Recent studies show that simplify: 3 to the power of (-1). Express as a fraction 1/n.

Simplify: 3 to the power of (-1). Express as a fraction 1/n.

A.

1/4

B.

1/2

C.

3

D.

1/3

✓ Correct

Detailed Explanation

[Variation 1] Choice D is the best answer. 3 to the power of (-1) = 1/3 to the power of 1 = 1/3

Why others are wrong:
A: 1/4 is incorrect because it does not satisfy the equation.
B: 1/2 is incorrect because it does not satisfy the equation.
C: 3 is incorrect because it does not satisfy the equation.