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?
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.