Which of the following is an equivalent expression to 13−5 ⋅13−11 with only positive exponents, generated by applying the properties of exponents? (1 point)

Question

1/26^16

1/26^6

1/13^16

1/13^6

Answer 1

To simplify the given expression, we can rewrite it using the exponent rule that states: a^m ÷ a^n = a^(m-n).

Applying this rule to the expression 13−5 ⋅13−11, we have:
13^(-5) ⋅ 13^(-11) = 13^(-5 - 11) = 13^(-16).

Since we want an expression with only positive exponents, we can rewrite 13^(-16) as 1/13^16.

Therefore, the equivalent expression is 1/13^16.