Answer:
q = -7
Step-by-step explanation:
3 ^ -q * 1/27 = 81
Rewriting each as a power of 3
3 ^ -q * 3^ -3 = 3 ^4
We know that a^b * a^ c = a^ ( b+c)
3 ^ (-q -3) = 3 ^4
The bases are the same so the exponents are the same
-q-3 = 4
Add 3 to each side
-q-3+3 = 4+3
-q =7
Divide by -1
q = -7
