Solve (-3)^3*(-4)^3div(-6)^5=

$$( - 3 ) ^ { 3 } \times ( - 4 ) ^ { 3 } \div ( - 6 ) ^ { 5 } =$$

Evaluate

$$-\frac{2}{9}\approx -0.222222222$$

Solution Steps

Calculate -3 to the power of 3 and get -27.

$$\frac{-27\left(-4\right)^{3}}{\left(-6\right)^{5}}$$

Calculate -4 to the power of 3 and get -64.

$$\frac{-27\left(-64\right)}{\left(-6\right)^{5}}$$

Multiply -27 and -64 to get 1728.

$$\frac{1728}{\left(-6\right)^{5}}$$

Calculate -6 to the power of 5 and get -7776.

$$\frac{1728}{-7776}$$

Reduce the fraction \frac{1728}{-7776} to lowest terms by extracting and canceling out 864.

$$-\frac{2}{9}$$

Factor

$$-\frac{2}{9} = -0.2222222222222222$$