Question

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?
Answers

1⋅4^−3

64

60/4^−3

1^64

Answer 1

wrong

Answer 2

The equivalent expression that has been generated by applying the Properties of Integer Exponents is 1⋅4^−3.

Answer 3

I apologize for the incorrect response. Let's simplify the expression step by step:

(15^−3 ⋅ 4^7)^0/4^−3

First, we can simplify the exponent of 15^−3:
15^−3 = 1/15^3 = 1/3375

Now we can simplify the expression inside the parentheses:
(1/3375 ⋅ 4^7)^0/4^−3

Next, we simplify the exponent of 4^−3:
4^−3 = 1/4^3 = 1/64

Now we have:
(1/3375 ⋅ 4^7)^0/1/64

Next, we simplify the division of the exponents:
(1/3375 ⋅ 4^7)^0 * 64^1

Any expression raised to the power of zero is equal to 1, so we can simplify further:
1 * 64^1 = 64

Therefore, the equivalent expression is 64.