Solve c^8d^5/(dc^3)^2

$$\frac { c ^ { 8 } d ^ { 5 } } { ( d c ^ { 3 } ) ^ { 2 } }$$

Evaluate

$$c^{2}d^{3}$$

Solution Steps

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

$$\frac{c^{8}d^{5}}{d^{2}\left(c^{3}\right)^{2}}$$

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

$$\frac{c^{8}d^{5}}{d^{2}c^{6}}$$

Cancel out d^{2}c^{6} in both numerator and denominator.

$$c^{2}d^{3}$$

Expand

$$c^{2}d^{3}$$

Solution Steps

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

$$\frac{c^{8}d^{5}}{d^{2}\left(c^{3}\right)^{2}}$$

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

$$\frac{c^{8}d^{5}}{d^{2}c^{6}}$$

Cancel out d^{2}c^{6} in both numerator and denominator.

$$c^{2}d^{3}$$