Solve x^3y^5/3x*y^4/x^2 | Microsoft Math Solver

Type a math problem

Evaluate

\frac{y ^{9}}{3}

Solution Steps

\frac{x ^{3} y ^{5}}{3 x} \times \frac{y ^{4}}{x ^{2}}

Cancel out

x

in both numerator and denominator.

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

Multiply

\frac{x ^{2} y ^{5}}{3}

times

\frac{y ^{4}}{x ^{2}}

by multiplying numerator times numerator and denominator times denominator.

\frac{x ^{2} y ^{5} y ^{4}}{3 x ^{2}}

Cancel out

x^{2}

in both numerator and denominator.

\frac{y ^{4} y ^{5}}{3}

To multiply powers of the same base, add their exponents. Add

4

and

5

to get

9

\frac{y ^{9}}{3}

Quiz

Algebra

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\frac{x ^{3} y ^{5}}{3 x} \times \frac{y ^{4}}{x ^{2}}

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\frac{x^{2}y^{5}}{3}\times \left(\frac{y^{4}}{x^{2}}\right)

Cancel out x in both numerator and denominator.

\frac{x^{2}y^{5}y^{4}}{3x^{2}}

Multiply \frac{x^{2}y^{5}}{3} times \frac{y^{4}}{x^{2}} by multiplying numerator times numerator and denominator times denominator.

\frac{y^{4}y^{5}}{3}

Cancel out x^{2} in both numerator and denominator.

\frac{y^{9}}{3}

To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.

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