which of the following is The equivalent expression to (15^-3 x 4^7)^0 / 4^-3 that has been generated by applying the Properties of Integer Exponents?

a. 1/64
b. 64
c. 60/4^-3
d. 1 x 4^-3

1 answer

To simplify the given expression, we need to apply the properties of integer exponents.

First, let's simplify the exponents inside the parentheses:
(15^-3 x 4^7)^0 = (1/15^3 x 4^7)^0 = 1^0 = 1

Next, let's simplify the denominator:
4^-3 = 1/4^3 = 1/64

Now, let's substitute these simplified expressions back into the original expression:
(15^-3 x 4^7)^0 / 4^-3 = 1 / (1/64) = 1 x 64 = 64

Therefore, the correct answer is b. 64.