Solve {left(-a/bright)}^2b^2/c

$${ \left( \frac{ -a }{ b } \right) }^{ 2 } \frac{ { b }^{ 2 } }{ c }$$

Evaluate

$$\frac{a^{2}}{c}$$

Solution Steps

To raise \frac{-a}{b} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(-a\right)^{2}}{b^{2}}\times \frac{b^{2}}{c}$$

Multiply \frac{\left(-a\right)^{2}}{b^{2}} times \frac{b^{2}}{c} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(-a\right)^{2}b^{2}}{b^{2}c}$$

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

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

Calculate -a to the power of 2 and get a^{2}.

$$\frac{a^{2}}{c}$$

Expand

$$\frac{a^{2}}{c}$$

Solution Steps

To raise \frac{-a}{b} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(-a\right)^{2}}{b^{2}}\times \frac{b^{2}}{c}$$

Multiply \frac{\left(-a\right)^{2}}{b^{2}} times \frac{b^{2}}{c} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(-a\right)^{2}b^{2}}{b^{2}c}$$

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

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

Calculate -a to the power of 2 and get a^{2}.

$$\frac{a^{2}}{c}$$