To solve this problem, we can apply the power of a power rule in exponents, which states that (a^m)^n = a^(m*n).
Step 1:
Identify the base and the exponents. Here, we have the base x, an inner exponent 7 and an outer exponent of -5.
Step 2:
Calculate the overall exponent. This can be done by multiplying the inner exponent (7) with the outer exponent (-5) which gives us -35. So our expression simplifies to x^(-35).
Up to this point, we have (x^(7))^(-5) = x^(-35)
But, the problem specifically asks for an answer with positive exponents. So, let's change our expression to meet this condition.
Step 3:
Remembering that a^(-m) equals 1 divided by a^m, we can rewrite our expression x^(-35) as 1 divided by x^(35) to make the exponent positive.
So, the simplified form of (x^(7))^(-5) with a positive exponent is 1 / x^35.