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simplify. express your answer using a single exponent. $(a^3)^2$

Question

simplify. express your answer using a single exponent.
$(a^3)^2$

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), use the power - of - a - power rule: \((a^m)^n=a^{m\times n}\).

Step2: Apply the rule

Here, \(m = 3\) and \(n = 2\). So, \((a^{3})^{2}=a^{3\times2}=a^{6}\).

Answer:

\(a^{6}\)