Solve- -x20 y-10 z5-x3-y3

lt;!–td border: 1px solid #ccc;br mso data placement:same cell;– gt; √(x^20 y^ 10 z^5)÷x^3/y^3 =(x^20 y^ 10 z^5)^1/5÷x^3/y^3 x^20 ×1/5· y^ 10 ×1/5· z^5 ×1 ...

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Byju's Answer

Standard XII

Mathematics

Definition of Functions

Solve: √x20 y...

Question

Solve: $\sqrt[5]{x^{20} y^{- 10} z^{5}} \div \frac{x^{3}}{y^{3}}$

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Solution

$\sqrt[5]{x^{20} y^{- 10} z^{5}} \div \frac{x^{3}}{y^{3}}$
$= {(x^{20} y^{- 10} z^{5})}^{\frac{1}{5}} \div \frac{x^{3}}{y^{3}}$
$x^{20 \times \frac{1}{5}} \cdot y^{- 10 \times \frac{1}{5}} \cdot z^{5 \times \frac{1}{5}} \div \frac{x^{3}}{y^{3}}$
$= x^{4} \cdot y^{- 2} \cdot z^{1} \times \frac{y^{3}}{x^{3}}$
$= x^{4} \cdot y^{- 2} \cdot z^{1} \times \frac{y^{3}}{x^{3}}$
$= x^{4 - 3} \cdot y^{- 2 + 3} \cdot z^{1}$
$= x y z$

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Solve: 5√x20y−10z5÷x3y3

5√x20y−10z5÷x3y3 =(x20y−10z5)15÷x3y3 x20×15⋅y−10×15⋅z5×15÷x3y3 =x4⋅y−2⋅z1×y3x3 =x4⋅y−2⋅z1×y3x3 =x4−3⋅y−2+3⋅z1 =xyz

Solve: $\sqrt[5]{x^{20} y^{- 10} z^{5}} \div \frac{x^{3}}{y^{3}}$