which of the following is equivalent expression to 13^-5*13^-11 with only positive exponents generated by applying the properties of exponent

Answer 1

Using the properties of exponents, we can add the exponents when multiplying two expressions with the same base.

Therefore, the expression 13^(-5) * 13^(-11) can be simplified as follows:

13^(-5) * 13^(-11) = 13^(-5-11) = 13^(-16)

To convert this expression to have only positive exponents, we can apply the property that a negative exponent is equivalent to the reciprocal of the positive exponent.

Thus, 13^(-16) is equivalent to 1 / 13^(16).

Therefore, the expression with only positive exponents that is equivalent to 13^(-5) * 13^(-11) is 1 / 13^16.