Solve 1ft^212in/1ft12in/1ft

$$1f { t }^{ 2 } \frac{ 12in }{ 1ft } \frac{ 12in }{ 1ft }$$

Evaluate

$$-\frac{144n^{2}}{f}$$

Solution Steps

Multiply \frac{12in}{1ft} and \frac{12in}{1ft} to get \left(\frac{12in}{1ft}\right)^{2}.

$$1ft^{2}\times \left(\frac{12in}{1ft}\right)^{2}$$

To raise \frac{12in}{1ft} to a power, raise both numerator and denominator to the power and then divide.

$$1ft^{2}\times \frac{\left(12in\right)^{2}}{\left(1ft\right)^{2}}$$

Expand \left(12in\right)^{2}.

$$1ft^{2}\times \frac{\left(12i\right)^{2}n^{2}}{\left(1ft\right)^{2}}$$

Calculate 12i to the power of 2 and get -144.

$$1ft^{2}\times \frac{-144n^{2}}{\left(1ft\right)^{2}}$$

Expand \left(1ft\right)^{2}.

$$1ft^{2}\times \frac{-144n^{2}}{1^{2}f^{2}t^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$1ft^{2}\times \frac{-144n^{2}}{1f^{2}t^{2}}$$

Cancel out 1 in both numerator and denominator.

$$1ft^{2}\times \frac{-144n^{2}}{f^{2}t^{2}}$$

Express 1\times \frac{-144n^{2}}{f^{2}t^{2}} as a single fraction.

$$\frac{-144n^{2}}{f^{2}t^{2}}ft^{2}$$

Express \frac{-144n^{2}}{f^{2}t^{2}}f as a single fraction.

$$\frac{-144n^{2}f}{f^{2}t^{2}}t^{2}$$

Cancel out f in both numerator and denominator.

$$\frac{-144n^{2}}{ft^{2}}t^{2}$$

Express \frac{-144n^{2}}{ft^{2}}t^{2} as a single fraction.

$$\frac{-144n^{2}t^{2}}{ft^{2}}$$

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

$$\frac{-144n^{2}}{f}$$