Question

For what value of a does 9 = (StartFraction 1 Over 27 EndFraction) Superscript a + 3?

A. Negative eleven-thirds
B. Negative seven-thirds
C. Seven-thirds
D. Eleven-thirds

Answer 1

A

Explanation:

9 = (1/27)^(a+3)

3² = (3^-3)^(a+3)

3² = 3^(-3a-9)

2 = -3a-9

-3a = 11

a = -11/3