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\( \frac{y^{5}}{y^{3}.y^{-4}} \)

Ask by Mccarthy Cole. in South Africa
Feb 21,2025

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The simplified expression is \( y^6 \).

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Bonus Knowledge

To simplify the expression \( \frac{y^{5}}{y^{3} \cdot y^{-4}} \), we first need to combine the terms in the denominator. Recall that when multiplying powers with the same base, we add the exponents: \( y^{3} \cdot y^{-4} = y^{3 + (-4)} = y^{-1} \). Now, our expression simplifies to: \[ \frac{y^{5}}{y^{-1}}. \] Next, when we divide powers with the same base, we subtract the exponents: \[ y^{5 - (-1)} = y^{5 + 1} = y^{6}. \] Thus, the simplified expression is \( y^{6} \).

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