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Popular >

simplify ((3xy^4)/(5z^2))^2

Solution

simplify

(\frac{3 x y ^{4}}{5 z ^{2}})^{2}

Solution

\frac{9 x ^{2} y ^{8}}{25 z ^{4}}

Solution steps

(\frac{3 x y ^{4}}{5 z ^{2}})^{2}

Apply exponent rule:

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

= \frac{( 3 x y ^{4} ) ^{2}}{( 5 z ^{2} ) ^{2}}

Simplify

(3 x y^{4})^{2} : 9 x^{2} y^{8}

= \frac{9 x ^{2} y ^{8}}{( 5 z ^{2} ) ^{2}}

Simplify

(5 z^{2})^{2} : 25 z^{4}

= \frac{9 x ^{2} y ^{8}}{25 z ^{4}}

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Frequently Asked Questions (FAQ)

What is ((3xy^4)/(5z^2))^2 ?
The solution to ((3xy^4)/(5z^2))^2 is (9x^2y^8)/(25z^4)