Solve frac{sqrt{(-4)^2}}{(-3)^2(-2)^2}

$$\frac { \sqrt { ( - 4 ) ^ { 2 } } } { ( - 3 ) ^ { 2 } ( - 2 ) ^ { 2 } }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Calculate -4 to the power of 2 and get 16.

$$\frac{\sqrt{16}}{\left(-3\right)^{2}\left(-2\right)^{2}}$$

Calculate the square root of 16 and get 4.

$$\frac{4}{\left(-3\right)^{2}\left(-2\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

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

Calculate -2 to the power of 2 and get 4.

$$\frac{4}{9\times 4}$$

Multiply 9 and 4 to get 36.

$$\frac{4}{36}$$

Reduce the fraction \frac{4}{36} to lowest terms by extracting and canceling out 4.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$