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

1/26^16

1/13^6

1/26^6

1/13^16

Answer 1

To simplify the expression 13−^5 ⋅13−^11 with only positive exponents, you can use the property that states when you multiply two numbers with the same base, you add the exponents.

Therefore, 13−^5 ⋅13−^11 can be written as 13^(-5 + (-11)).

Simplifying the exponents inside the parenthesis, we get 13^(-16).

The expression 13^(-16) is equivalent to 1/13^16.

So, the correct answer is 1/13^16.