Solve {left(r/hxright)}^2

$${ \left( \frac{ r }{ h } x \right) }^{ 2 }$$

Evaluate

$$\left(\frac{rx}{h}\right)^{2}$$

Solution Steps

Express \frac{r}{h}x as a single fraction.

$$\left(\frac{rx}{h}\right)^{2}$$

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

$$\frac{\left(rx\right)^{2}}{h^{2}}$$

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

$$\frac{r^{2}x^{2}}{h^{2}}$$

Expand

$$\left(\frac{rx}{h}\right)^{2}$$

Solution Steps

Express \frac{r}{h}x as a single fraction.

$$\left(\frac{rx}{h}\right)^{2}$$

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

$$\frac{\left(rx\right)^{2}}{h^{2}}$$

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

$$\frac{r^{2}x^{2}}{h^{2}}$$