To simplify the expression 13^(-5) * 13^(-11) and rewrite it with only positive exponents, you can apply the property of exponents that states when multiplying two powers with the same base, you add their exponents.
So, let's simplify the expression step by step:
First, we apply the property of exponents:
13^(-5) * 13^(-11) = 13^(-5 + -11)
Next, we add the exponents:
13^(-5 + -11) = 13^(-16)
Finally, to rewrite it with only positive exponents, we can take the reciprocal of the expression:
1 / 13^16
Therefore, the equivalent expression with only positive exponents is 1/13^16.
So, the correct response is 1/13^16.