Which of the following is an equivalent expression to 5^9⋅5^−13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)

Question

1/625

5^9 / 5^−13

5^4

1/5^4

Answer 1

To simplify the expression 5^9⋅5^−13, we can add the exponents.

5^9⋅5^−13 = 5^(9+(-13)) = 5^(-4)

Since we want an expression with only positive exponents, we can rewrite 5^(-4) as 1/5^4.

So, the equivalent expression to 5^9⋅5^−13 with only positive exponents is 1/5^4.

Therefore, the correct answer is 1/5^4.