Which of the following is an equivalent expression to 15^0 ⋅ 7^−2/(−4)^−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?

Answers

4^3/7^2

1/7^2 ⋅ (−4)^−3

7^2/(−4)^3

(−4)^3/7^2

1 answer

The equivalent expression with only positive exponents can be found by applying the property of integers exponents that states that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.

Applying this property to the given expression, we can rewrite 7^−2 as 1/7^2 and (−4)^−3 as 1/(−4)^3.

Therefore, the equivalent expression with only positive exponents is 15^0 ⋅ 1/7^2 ⋅ 1/(−4)^3.

Simplifying this expression, we get (−4)^3/7^2.

So, the correct answer is (−4)^3/7^2.