Solve (-a)^3*a^-2div(a^2)^2co

$$( - a ) ^ { 3 } \times a ^ { - 2 } \div ( a ^ { 2 } ) ^ { 2 } co$$

Evaluate

$$-\frac{co}{a^{3}}$$

Short Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{\left(-a\right)^{3}a^{-2}}{a^{4}}co$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

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

Express \frac{\left(-a\right)^{3}}{a^{6}}c as a single fraction.

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

Express \frac{\left(-a\right)^{3}c}{a^{6}}o as a single fraction.

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

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

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

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

$$\frac{-a^{3}co}{a^{6}}$$

Cancel out a^{3} in both numerator and denominator.

$$\frac{-co}{a^{3}}$$

Expand

$$-\frac{co}{a^{3}}$$

Short Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{\left(-a\right)^{3}a^{-2}}{a^{4}}co$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

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

Express \frac{\left(-a\right)^{3}}{a^{6}}c as a single fraction.

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

Express \frac{\left(-a\right)^{3}c}{a^{6}}o as a single fraction.

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

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

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

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

$$\frac{-a^{3}co}{a^{6}}$$

Cancel out a^{3} in both numerator and denominator.

$$\frac{-co}{a^{3}}$$