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how would you simplify $(c^{3})^{-2}$? * $c^{1}$ $c^{6}$ $c^{-6}$ $c^{5…

Question

how would you simplify $(c^{3})^{-2}$? *
$c^{1}$
$c^{6}$
$c^{-6}$
$c^{5}$

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), the rule is \(a^{m\times n}\). Here \(a = c\), \(m = 3\), \(n=- 2\).

Step2: Apply the rule

\((c^{3})^{-2}=c^{3\times(-2)} = c^{-6}\)

Answer:

C. \(c^{-6}\)