Question

simplify $x^{-7}$. write your answer using only positive the solution is \boxed{}.

Explanation:

Step1: Recall negative exponent rule

The rule for negative exponents is \( a^{-n}=\frac{1}{a^{n}} \) (where \( a
eq0 \) and \( n \) is a positive integer). For \( x^{-7} \), we apply this rule.

Step2: Apply the rule to \( x^{-7} \)

Using the rule \( a^{-n}=\frac{1}{a^{n}} \) with \( a = x \) and \( n = 7 \), we get \( x^{-7}=\frac{1}{x^{7}} \).

Answer:

\(\frac{1}{x^{7}}\)