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Simplify. \( \left(\frac{x y^{6}}{z^{4}}\right)^{5} \)

Ask by Garrett Klein. in the United States
Jan 21,2025

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The simplified form is \( \frac{x^{5}y^{30}}{z^{20}} \).

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Mind Expander

To simplify \( \left(\frac{x y^{6}}{z^{4}}\right)^{5} \), you apply the exponent to each component inside the parentheses. This results in: \[ \frac{x^5 y^{6 \times 5}}{z^{4 \times 5}} = \frac{x^5 y^{30}}{z^{20}} \] So, the simplified expression is \( \frac{x^5 y^{30}}{z^{20}} \).

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