Problem
Simplify the given exponential expression. \[ \left(x^{-5}\right)^{5} \] \[ \left(x^{-5}\right)^{5}=\square(\text { Type exponential notation with positive exponents. }) \]
Solution
Step 1 ：\(\left(x^{-5}\right)^{5} = x^{-5*5}\)
Step 2 ：\(x^{-5*5} = x^{-25}\)
Step 3 ：\(x^{-25} = \frac{1}{x^{25}}\)
Step 4 ：\(\boxed{\frac{1}{x^{25}}}\)
