Answer:
c. 1/128
Step-by-step explanation:
(2 ^ -5)^2
----------------------
2^ -3
Lets first simplify the numerator.
a^b^c = a^(b*c)
(2 ^ -5)^2 = 2^(-5*2) = 2^-10
(2 ^ -10)
----------------------
2^ -3
When dividing, since the bases are the same, we keep the bases and subtract the exponents.
a^b/ a^c = a^(b-c)
2^(-10- -3)
2^(-10+3)
2^(-7)
We know the negative exponent moves it from the numerator to the denominator
1/2^7
1/128
