Question

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

a) 13^6
b) 13^16
c) 13^−16
d) 13^−6

Answer 1

To simplify the expression 13^(-5)· 13^(-11) with only positive exponents, add the exponents to get -16.

Step-by-step explanation:

To simplify the expression 13^(-5)· 13^(-11) with only positive exponents, we can apply the property of exponents that states when multiplying powers with the same base, add the exponents.

In this case, we have 13 raised to the power of -5 and 13 raised to the power of -11. Adding these exponents, we get (-5) + (-11) = -16.

Therefore, the equivalent expression with positive exponents is 13^(-5)· 13^(-11) = 13^(-16).