Solve (xy\div(x)^(2)(y)^(2)) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(xy \div { x }^{ 2 } { y }^{ 2 } )$$

Evaluate

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

Solution Steps

Cancel out $x$ in both numerator and denominator.

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

Express $\frac{y}{x}y^{2}$ as a single fraction.

$$\frac{yy^{2}}{x}$$

To multiply powers of the same base, add their exponents. Add $1$ and $2$ to get $3$.

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

Differentiate w.r.t. x

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