Solve (1/4)^-2+(1/3)^-2/(frac{1{5})^-2}

$$\frac { ( \frac { 1 } { 4 } ) ^ { - 2 } + ( \frac { 1 } { 3 } ) ^ { - 2 } } { ( \frac { 1 } { 5 } ) ^ { - 2 } }$$

Evaluate

$$1$$

Solution Steps

Calculate \frac{1}{4} to the power of -2 and get 16.

$$\frac{16+\left(\frac{1}{3}\right)^{-2}}{\left(\frac{1}{5}\right)^{-2}}$$

Calculate \frac{1}{3} to the power of -2 and get 9.

$$\frac{16+9}{\left(\frac{1}{5}\right)^{-2}}$$

Add 16 and 9 to get 25.

$$\frac{25}{\left(\frac{1}{5}\right)^{-2}}$$

Calculate \frac{1}{5} to the power of -2 and get 25.

$$\frac{25}{25}$$

Divide 25 by 25 to get 1.

$$1$$

Factor

$$1$$