Which of the following is the equivalent expression to (15^−3 ⋅ 4^7)^0/4^−3 that has been generated by applying the Properties of Integer Exponents?

Answer 1

In this case, we can simply apply the properties of integer exponents to simplify the expression.

First, let's simplify the exponent on the left side of the expression:
(15^−3 ⋅ 4^7)^0 = 15^0 ⋅ 4^0

Any number raised to the power of 0 is equal to 1, so this simplifies to:
1 ⋅ 1 = 1

Now let's simplify the exponent on the right side of the expression:
4^−3 = 1/4^3

Using the property that (a/b)^c = a^c/b^c, we can rewrite this as:
1/(4^3)

Now we can rewrite the original expression as:
1/(4^3) = 1/64

So, the equivalent expression that has been generated by applying the Properties of Integer Exponents is 1/64.