Solve -(2a/3y)^2

$$- ( \frac { 2 a } { 3 y } ) ^ { 2 }$$

Evaluate

$$-\frac{4\times \left(\frac{a}{y}\right)^{2}}{9}$$

Solution Steps

To raise \frac{2a}{3y} to a power, raise both numerator and denominator to the power and then divide.

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

Expand \left(2a\right)^{2}.

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

Calculate 2 to the power of 2 and get 4.

$$-\frac{4a^{2}}{\left(3y\right)^{2}}$$

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

$$-\frac{4a^{2}}{3^{2}y^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$-\frac{4a^{2}}{9y^{2}}$$

Expand

$$-\frac{4\times \left(\frac{a}{y}\right)^{2}}{9}$$

Solution Steps

To raise \frac{2a}{3y} to a power, raise both numerator and denominator to the power and then divide.

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

Expand \left(2a\right)^{2}.

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

Calculate 2 to the power of 2 and get 4.

$$-\frac{4a^{2}}{\left(3y\right)^{2}}$$

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

$$-\frac{4a^{2}}{3^{2}y^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$-\frac{4a^{2}}{9y^{2}}$$