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Simplify the expression. \( \left(6^{2}\right)^{5} \) \( 6^{3} \) \( 6^{10} \) \( 6^{7} \) \( 6^{-3} \)

Ask by Reed Weston. in the United States
Jan 08,2025

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\( 6^{10} \)

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To simplify the expression \( \left(6^{2}\right)^{5} \), you apply the power of a power rule, which states that \( (a^m)^n = a^{m \cdot n} \). So, \[ \left(6^{2}\right)^{5} = 6^{2 \cdot 5} = 6^{10}. \] That means the simplified form equals \( 6^{10} \). Now let's look at the options provided. The correct answer is: \( 6^{10} \).

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