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