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