Solve (1/3)^-2*(1/4)^-2-(1/5)^-2

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

Evaluate

$$119$$

Solution Steps

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

$$9\times \left(\frac{1}{4}\right)^{-2}-\left(\frac{1}{5}\right)^{-2}$$

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

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

Multiply 9 and 16 to get 144.

$$144-\left(\frac{1}{5}\right)^{-2}$$

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

$$144-25$$

Subtract 25 from 144 to get 119.

$$119$$

Factor

$$7\times 17$$