Step-by-step Solution

Simplify the quotient of powers $\frac{\sqrt{2x^{12}y^{21}z^8}}{40\sqrt{xyz}}$

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Step-by-step Solution

Problem to solve:

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

Solving method

Learn how to solve quotient of powers problems step by step online.

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

Unlock this full step-by-step solution!

Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((2x^12*y^21*z^8)^0.5)/(40(xy*z)^0.5). The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$\frac{7}{198}y^{10}\sqrt{x^{11}}\sqrt{z^{7}}$
$\frac{\sqrt{2x^{12} y^{21} z^8}}{40\sqrt{xy\cdot z}}$

Main topic:

Quotient of powers

Time to solve it:

~ 0.06 s