To find an equivalent expression with positive exponents, we can apply the property of exponents that states when multiplying two numbers with the same base, we add the exponents.
Therefore, 13^-5 × 13^-11 can be rewritten as 13^(-5 + -11) = 13^-16.
To convert this to an expression with positive exponents, we can take the reciprocal of the base, which will change the sign of the exponent. Thus,
1/13^-16 = 1/13^16.
Therefore, the correct option is 1/13^16.
Which of the following is an equivalent expression to 13^-5 × 13^-11 with only positive Exponents, generated by only applying the properties of Exponents?
1/20^16
1/26^6
1/13^6
1/13^16
1/13^17
1 answer