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Solution assignment 06 Rules for exponents

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Assignment 6

Simplify:

\displaystyle\frac{y^5\sqrt{y^5}}{2y^{0.3}}

Solution

We write:

\displaystyle\frac{y^5\sqrt{y^5}}{2y^{0.3}}=\displaystyle\frac{y^5y^2\sqrt{y}}{2y^{0.3}}=\displaystyle\frac{y^{6.7}\sqrt{y}}{2}

For this we used:

\displaystyle\sqrt[5]{y}=y^{\frac{5}{2}}=y^2.y^{\frac{1}{2}}=y^2\sqrt{y}

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