Solve (-3)^2*(-4)^3div(-6)^3=

$$( - 3 ) ^ { 2 } \times ( - 4 ) ^ { 3 } \div ( - 6 ) ^ { 3 } =$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

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

$$\frac{9\left(-4\right)^{3}}{\left(-6\right)^{3}}$$

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

$$\frac{9\left(-64\right)}{\left(-6\right)^{3}}$$

Multiply 9 and -64 to get -576.

$$\frac{-576}{\left(-6\right)^{3}}$$

Calculate -6 to the power of 3 and get -216.

$$\frac{-576}{-216}$$

Reduce the fraction \frac{-576}{-216} to lowest terms by extracting and canceling out -72.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$