# 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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### Difficult Problems

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

$\frac{\sqrt{2}x^{6}\sqrt{y^{21}}z^{4}}{40\sqrt{x}\sqrt{y}\sqrt{z}}$
3

Simplify the fraction by $z$

$\frac{\sqrt{2}\sqrt{x^{11}}y^{10}\sqrt{z^{7}}}{40}$
4

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

$\frac{\sqrt{2}}{40}\sqrt{x^{11}}y^{10}\sqrt{z^{7}}$
5

Divide $\sqrt{2}$ by $40$

$\frac{7}{198}\sqrt{x^{11}}y^{10}\sqrt{z^{7}}$

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