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simplify the expression. \\(\\left(x^{3}\ ight)^{-3}\\) \\(\\frac{1}{x^…

Question

simplify the expression.
\\(\left(x^{3}\
ight)^{-3}\\)
\\(\frac{1}{x^{\boxed{?}}}\\)

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), use \((a^m)^n = a^{m\times n}\). Here, \(a = x\), \(m = 3\), \(n=-3\).
\((x^3)^{-3}=x^{3\times(-3)} = x^{-9}\)

Step2: Recall negative exponent rule

\(a^{-n}=\frac{1}{a^n}\), so \(x^{-9}=\frac{1}{x^9}\)

Answer:

9