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simplify. express your answer using a single exponent. $(t^3)^{11}$

Question

simplify. express your answer using a single exponent.
$(t^3)^{11}$

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), use the power - of - a - power rule: \((a^m)^n=a^{m\times n}\). Here, \(a = t\), \(m = 3\) and \(n=11\).

Step2: Apply the rule

Calculate \(m\times n=3\times11 = 33\). So \((t^{3})^{11}=t^{3\times11}=t^{33}\).

Answer:

\(t^{33}\)