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

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

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

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

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

Calculate the square root of 36 and get 6.

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

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

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

Multiply 9 and -2 to get -18.

$$\frac{6}{-18}$$

Reduce the fraction \frac{6}{-18} to lowest terms by extracting and canceling out 6.

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$