Solve T(77/2nh)^2xh

$$T ( \frac { 77 } { 2 n h } ) ^ { 2 } x h$$

Evaluate

$$\frac{5929Tx}{4hn^{2}}$$

Solution Steps

To raise \frac{77}{2nh} to a power, raise both numerator and denominator to the power and then divide.

$$T\times \frac{77^{2}}{\left(2nh\right)^{2}}xh$$

Express T\times \frac{77^{2}}{\left(2nh\right)^{2}} as a single fraction.

$$\frac{T\times 77^{2}}{\left(2nh\right)^{2}}xh$$

Express \frac{T\times 77^{2}}{\left(2nh\right)^{2}}x as a single fraction.

$$\frac{T\times 77^{2}x}{\left(2nh\right)^{2}}h$$

Express \frac{T\times 77^{2}x}{\left(2nh\right)^{2}}h as a single fraction.

$$\frac{T\times 77^{2}xh}{\left(2nh\right)^{2}}$$

Calculate 77 to the power of 2 and get 5929.

$$\frac{T\times 5929xh}{\left(2nh\right)^{2}}$$

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

$$\frac{T\times 5929xh}{2^{2}n^{2}h^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{T\times 5929xh}{4n^{2}h^{2}}$$

Cancel out h in both numerator and denominator.

$$\frac{5929Tx}{4hn^{2}}$$

Expand

$$\frac{5929Tx}{4hn^{2}}$$

Solution Steps

To raise \frac{77}{2nh} to a power, raise both numerator and denominator to the power and then divide.

$$T\times \frac{77^{2}}{\left(2nh\right)^{2}}xh$$

Express T\times \frac{77^{2}}{\left(2nh\right)^{2}} as a single fraction.

$$\frac{T\times 77^{2}}{\left(2nh\right)^{2}}xh$$

Express \frac{T\times 77^{2}}{\left(2nh\right)^{2}}x as a single fraction.

$$\frac{T\times 77^{2}x}{\left(2nh\right)^{2}}h$$

Express \frac{T\times 77^{2}x}{\left(2nh\right)^{2}}h as a single fraction.

$$\frac{T\times 77^{2}xh}{\left(2nh\right)^{2}}$$

Calculate 77 to the power of 2 and get 5929.

$$\frac{T\times 5929xh}{\left(2nh\right)^{2}}$$

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

$$\frac{T\times 5929xh}{2^{2}n^{2}h^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{T\times 5929xh}{4n^{2}h^{2}}$$

Cancel out h in both numerator and denominator.

$$\frac{5929Tx}{4hn^{2}}$$