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Multiply and simplify. \( (7 y)^{9} \cdot(7 y)^{2} \)

Ask by Hilton Craig. in the United States
Jan 23,2025

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\( 7^{11}y^{11} \)

Solución

Calculate or simplify the expression \( (7*y)^9*(7*y)^2 \). Simplify the expression by following steps: - step0: Solution: \(\left(7y\right)^{9}\left(7y\right)^{2}\) - step1: Rewrite the expression: \(7^{9}y^{9}\times 49y^{2}\) - step2: Multiply the numbers: \(7^{11}y^{9}\times y^{2}\) - step3: Multiply the terms: \(7^{11}y^{11}\) The simplified form of \( (7y)^9 \cdot (7y)^2 \) is \( 7^{11}y^{11} \).

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Bonus Knowledge

To multiply powers with the same base, you add the exponents. So for \( (7y)^{9} \cdot (7y)^{2} \), you simply add \( 9 + 2 \) to get \( (7y)^{11} \). The simplified expression is \( 7^{11} y^{11} \). So, the final answer is \( (7y)^{11} \).

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