Which of the following is an equivalent expression to 13^−5 ⋅13^−11 with only positive exponents, generated by applying the properties of exponents?(1 point)

Question

Responses

1/13^16

1/26^6

1/13^6

1/26^16

Answer 1

To solve this problem, we can use the property of exponents that states: when we multiply two numbers with the same base, we add the exponents.

So, to simplify the expression 13^(-5) ⋅ 13^(-11) with positive exponents, we add the exponents: -5 + -11.

-5 + -11 = -16

Therefore, the equivalent expression with positive exponents is 1/13^16.

So the correct answer is 1/13^16.