What is 3x y/(\frac{3x^2){y}} ?

The solution to 3x y/(\frac{3x^2){y}} is (y^2)/x

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

simplify

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

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

Solution steps

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

Simplify

\frac{y}{\frac{3 x ^{2}}{y}} : \frac{yy}{3 x ^{2}}

= 3 x \frac{yy}{3 x ^{2}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 x yy}{3 x ^{2}}

Apply exponent rule:

aa = a^{2}

yy = y^{2}

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

Cancel the common factor:

3

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

Simplify

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

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

(\frac{a}{3} - \frac{b}{4})^{4}

\frac{m}{m - 3} + \frac{5 m - 48}{m ^{2} + 5 m - 24}

9 x^{2} + x - 8 = 0

4^{∣ x ∣} = 128

5 u^{2} - 3 u + 2 = 0

What is 3x y/(\frac{3x^2){y}} ?
The solution to 3x y/(\frac{3x^2){y}} is (y^2)/x