Solve a(c^2)^3(-c)/(-c^4)^3

$$\frac { a ( c ^ { 2 } ) ^ { 3 } ( - c ) } { ( - c ^ { 4 } ) ^ { 3 } }$$

Evaluate

$$\frac{a}{c^{5}}$$

Short Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$\frac{ac^{7}\left(-1\right)}{\left(-c^{4}\right)^{3}}$$

Expand \left(-c^{4}\right)^{3}.

$$\frac{ac^{7}\left(-1\right)}{\left(-1\right)^{3}\left(c^{4}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.

$$\frac{ac^{7}\left(-1\right)}{\left(-1\right)^{3}c^{12}}$$

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

$$\frac{ac^{7}\left(-1\right)}{-c^{12}}$$

Cancel out -c^{7} in both numerator and denominator.

$$\frac{a}{c^{5}}$$

Expand

$$\frac{a}{c^{5}}$$

Short Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$\frac{ac^{7}\left(-1\right)}{\left(-c^{4}\right)^{3}}$$

Expand \left(-c^{4}\right)^{3}.

$$\frac{ac^{7}\left(-1\right)}{\left(-1\right)^{3}\left(c^{4}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.

$$\frac{ac^{7}\left(-1\right)}{\left(-1\right)^{3}c^{12}}$$

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

$$\frac{ac^{7}\left(-1\right)}{-c^{12}}$$

Cancel out -c^{7} in both numerator and denominator.

$$\frac{a}{c^{5}}$$