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Popular >

simplify (((x^4))/((y^2)))^{1/2}

Solution

simplify

(\frac{( x ^{4} )}{( y ^{2} )})^{\frac{1}{2}}

Solution

\frac{x ^{2}}{y}

Solution steps

(\frac{x ^{4}}{y ^{2}})^{\frac{1}{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x ^{4} ) ^{\frac{1}{2}}}{( y ^{2} ) ^{\frac{1}{2}}}

Simplify

(x^{4})^{\frac{1}{2}} : x^{2}

= \frac{x ^{2}}{( y ^{2} ) ^{\frac{1}{2}}}

Simplify

(y^{2})^{\frac{1}{2}} : y

= \frac{x ^{2}}{y}

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Frequently Asked Questions (FAQ)

What is (((x^4))/((y^2)))^{1/2} ?
The solution to (((x^4))/((y^2)))^{1/2} is (x^2)/y