The problem gives us the expression [tex]\frac{5}{(a^5)^-^2}[/tex], and we are told to simplify it using positive exponents. First off, we can use the power of a power property to simplify the denominator of the fraction. Basically, we need to multiply [tex]5[/tex] and [tex]-2[/tex], which gives us [tex]-10[/tex], and set that as our exponent of the variable [tex]a[/tex]. Now, since we already have a negative exponent in the denominator, we can move the whole exponent and it's variable to the numerator, which will make it positive. This gives us [tex]5a^1^0[/tex]. Therefore, the answer is [tex]\boxed{5a^1^0}[/tex]. Hope this helped and have a great day!
