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Quotient of powers Calculator

Get detailed solutions to your math problems with our Quotient of powers step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

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1

Solved example of quotient of powers

$\frac{\sqrt{2x^{12} y^{21} z^8}}{40\sqrt{xy\cdot z}}$
2

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\sqrt{2}\sqrt{x^{12}y^{21}z^8}}{40\sqrt{xyz}}$
3

Take out the constant $\frac{\sqrt{2}}{40}$ from the fraction

$\frac{\frac{7}{198}\sqrt{x^{12}y^{21}z^8}}{\sqrt{xyz}}$
4

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\frac{7}{198}x^{6}\sqrt{y^{21}z^8}}{\sqrt{xyz}}$
5

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\frac{7}{198}x^{6}z^{4}\sqrt{y^{21}}}{\sqrt{xyz}}$

Final Answer

$\frac{\frac{7}{198}x^{6}z^{4}\sqrt{y^{21}}}{\sqrt{xyz}}$

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