Solve (2)(-x^2)^3div(-x^3)^2=

$$( 2 ) ( - x ^ { 2 } ) ^ { 3 } \div ( - x ^ { 3 } ) ^ { 2 } =$$

Evaluate

$$-2$$

Short Solution Steps

Calculate -x^{3} to the power of 2 and get \left(x^{3}\right)^{2}.

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

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

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

Expand \left(-x^{2}\right)^{3}.

$$\frac{2\left(-1\right)^{3}\left(x^{2}\right)^{3}}{x^{6}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{2\left(-1\right)^{3}x^{6}}{x^{6}}$$

Calculate -1 to the power of 3 and get -1.

$$\frac{2\left(-1\right)x^{6}}{x^{6}}$$

Multiply 2 and -1 to get -2.

$$\frac{-2x^{6}}{x^{6}}$$

Cancel out x^{6} in both numerator and denominator.

$$-2$$

Factor

$$-2$$