Solve left(-a^2right)^3divleft(-a^3right)^2

$${ \left(- { a }^{ 2 } \right) }^{ 3 } \div { \left(- { a }^{ 3 } \right) }^{ 2 }$$

Evaluate

$$-1$$

Solution Steps

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

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

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

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

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

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

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

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

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

$$\frac{-a^{6}}{a^{6}}$$

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

$$-1$$

Factor

$$-1$$