Solve ((x ^ 3 * y)/(x * y ^ 3)) ^ 3 | 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

$$(\frac{x^{3}y}{xy^{3}})^{3}$$

Evaluate

$\left(\frac{x}{y}\right)^{6}$

Solution Steps

Cancel out $xy$ in both numerator and denominator.

$$\left(\frac{x^{2}}{y^{2}}\right)^{3}$$

To raise $\frac{x^{2}}{y^{2}}$ to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(x^{2}\right)^{3}}{\left(y^{2}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $3$ to get $6$.

$$\frac{x^{6}}{\left(y^{2}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $3$ to get $6$.

$$\frac{x^{6}}{y^{6}}$$

Expand

$\left(\frac{x}{y}\right)^{6}$

Solution Steps

Cancel out $xy$ in both numerator and denominator.

$$\left(\frac{x^{2}}{y^{2}}\right)^{3}$$

To raise $\frac{x^{2}}{y^{2}}$ to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(x^{2}\right)^{3}}{\left(y^{2}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $3$ to get $6$.

$$\frac{x^{6}}{\left(y^{2}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $3$ to get $6$.

$$\frac{x^{6}}{y^{6}}$$