Solve frac{sqrt{(-6)^2}}{(-3)^2(-2)^2}

$$\frac { \sqrt { ( - 6 ) ^ { 2 } } } { ( - 3 ) ^ { 2 } ( - 2 ) ^ { 2 } }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Calculate -6 to the power of 2 and get 36.

$$\frac{\sqrt{36}}{\left(-3\right)^{2}\left(-2\right)^{2}}$$

Calculate the square root of 36 and get 6.

$$\frac{6}{\left(-3\right)^{2}\left(-2\right)^{2}}$$

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

$$\frac{6}{9\left(-2\right)^{2}}$$

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

$$\frac{6}{9\times 4}$$

Multiply 9 and 4 to get 36.

$$\frac{6}{36}$$

Reduce the fraction \frac{6}{36} to lowest terms by extracting and canceling out 6.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$