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15 May, 18:00

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

+3
Answers (1)
  1. 15 May, 19:01
    0
    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
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