Question

Which of the following is an equivalent expression to 59⋅5^(-13) with only positive exponents that has been generated by applying the properties of integer exponents? a. 5^(-59) b. 59^5 c. (5^(-1))^59 d. 59^(-5)

Answer 1

To find an equivalent expression with positive exponents, rewrite 59⋅5^(-13) using the properties of integer exponents. The final expression is (5^(-1))^59.

Step-by-step explanation:

To find an equivalent expression with positive exponents, we can rewrite 59⋅5^(-13) using the properties of integer exponents.

First, we know that any number raised to the power of -1 is equal to its reciprocal. So we can rewrite 5^(-13) as 1/5^13.

Next, we can apply the property of multiplying exponents with the same base. So 59 and 1/5^13 become 59/5^13, which is equivalent to the original expression with positive exponents.

Therefore, the answer is c. (5^(-1))^59.