Solve (3/5*x/y^3)^2

$$( \frac { 3 } { 5 } \cdot \frac { x } { y ^ { 3 } } ) ^ { 2 }$$

Evaluate

$$\frac{9x^{2}}{25y^{6}}$$

Solution Steps

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

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

To raise \frac{3x}{5y^{3}} to a power, raise both numerator and denominator to the power and then divide.

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

Expand \left(3x\right)^{2}.

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

Calculate 3 to the power of 2 and get 9.

$$\frac{9x^{2}}{\left(5y^{3}\right)^{2}}$$

Expand \left(5y^{3}\right)^{2}.

$$\frac{9x^{2}}{5^{2}\left(y^{3}\right)^{2}}$$

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

$$\frac{9x^{2}}{5^{2}y^{6}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{9x^{2}}{25y^{6}}$$

Expand

$$\frac{9x^{2}}{25y^{6}}$$

Solution Steps

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

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

To raise \frac{3x}{5y^{3}} to a power, raise both numerator and denominator to the power and then divide.

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

Expand \left(3x\right)^{2}.

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

Calculate 3 to the power of 2 and get 9.

$$\frac{9x^{2}}{\left(5y^{3}\right)^{2}}$$

Expand \left(5y^{3}\right)^{2}.

$$\frac{9x^{2}}{5^{2}\left(y^{3}\right)^{2}}$$

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

$$\frac{9x^{2}}{5^{2}y^{6}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{9x^{2}}{25y^{6}}$$