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

Question

Jimena Bush

15 May, 18:00

+3

Answers (1)

Know the Answer?

Denzel Bird · Answer 1

A

Step-by-step explanation:

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

3² = (3^-3) ^ (a+3)

3² = 3^ (-3a-9)

2 = - 3a-9

-3a = 11

a = - 11/3

For what value of a does 9 = (StartFraction 1 Over 27 EndFraction) Superscript a + 3?A. Negative eleven-thirdsB. Negative seven-thirdsC. Seven-thirdsD. Eleven-thirds