For what value of a does g=(1/27)^a+3?

Answer:
-11/3
[tex]9 = { (\frac{1}{27} )}^{a + 3} [/tex]
[tex] {(3)}^{2} = { ({3}^{ - 3}) }^{a + 3} [/tex]
[tex] {(3)}^{2} = {(3)}^{ - 3a - 9} [/tex]
Since the bases are same, therefore the exponents are equal
2=-3a-9
3a=-9-2
a= -11/3