Which of the following is an equivalent expression to 13^-5x13^-11 with only positive exponents generated by applying the properties of exponents. A. 1/26^16 B. 1/26^6 C. 1/13^6 D. 1/13^16
13^-5x13^-11 can be simplified using the property of exponents that states, when multiplying two numbers with the same base, you add the exponents.
So, 13^-5x13^-11 = 13^(-5 - 11)
Using another property of exponents that states, when raising a power to a negative exponent, you can rewrite it as the reciprocal of the base raised to the positive exponent.
Therefore, 13^(-5 - 11) = 1/13^(5 + 11)
Simplifying further, 1/13^(5 + 11) = 1/13^16
Hence, the equivalent expression with only positive exponents is D. 1/13^16.