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Popular >

simplify ((3xy^2)^2)/((xy)^3)

Solution

simplify

\frac{( 3 x y ^{2} ) ^{2}}{( x y ) ^{3}}

Solution

\frac{9 y}{x}

Solution steps

\frac{( 3 x y ^{2} ) ^{2}}{( x y ) ^{3}}

Simplify

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

= \frac{9 x ^{2} y ^{4}}{( x y ) ^{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x y)^{3} = x^{3} y^{3}

= \frac{9 x ^{2} y ^{4}}{x ^{3} y ^{3}}

Simplify

\frac{x ^{2}}{x ^{3}} : \frac{1}{x}

= \frac{9 y ^{4}}{x y ^{3}}

Simplify

\frac{y ^{4}}{y ^{3}} : y

= \frac{9 y}{x}

Popular Examples

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- (\frac{2}{9})^{0}

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\frac{1}{\frac{5}{x}}

Frequently Asked Questions (FAQ)

What is ((3xy^2)^2)/((xy)^3) ?
The solution to ((3xy^2)^2)/((xy)^3) is (9y)/x