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\( 1 \leftarrow \quad \) Simplify the exponential expression. \( \left(6 y^{5}\right)^{2} \) \( \left(6 y^{5}\right)^{2}=\square \)

Ask by Herrera Garza. in the United States
Jan 24,2025

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\[ \left(6 y^{5}\right)^{2} = 36y^{10} \]

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Bonus Knowledge

To simplify the expression \((6 y^{5})^{2}\), you apply the power of a product rule. This means you will square both the coefficient (6) and the variable part \((y^{5})\). Thus, \( (6^{2}) = 36 \) and \( (y^{5})^{2} = y^{10} \). Putting it all together, you get \( (6 y^{5})^{2} = 36 y^{10} \). So, \((6 y^{5})^{2} = 36 y^{10}\).

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