Answer:
a = -3/4
Step-by-step explanation:
1/64 = 16 ^(2a)
4^ -3 = 2^4 ^(2a)
4^-3 =2^(8a)
The bases are not the same so the exponents cannot be equated yet
2^2^-3 = 2 ^(8a)
2 ^ (-6) = 2 ^(8a)
Now the bases are the same so we can equate the exponents
-6 = 8a
Divide each side by 8
-6/8 =a
-3/4 =a
