Solve frac{c^{4}d^{3}}{cd^2})(d^2/c^3)^3

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

Evaluate

$$dc^{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{c^{4}d^{3}}{c^{1}d^{2}}$$

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

$$c^{4-1}d^{3-2}$$

Subtract 1 from 4.

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

Subtract 2 from 3.

$$c^{3}d^{1}$$

For any term t, t^{1}=t.

$$c^{3}d$$

Differentiate w.r.t. d

$$c^{3}$$