Solve left(-e^2right)^3divx^2

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

Evaluate

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

Solution Steps

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

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

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

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

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

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

Expand

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

Solution Steps

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

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

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

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

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

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