Solve 20u^4v^5/4u^3v

$$\frac { 20 u ^ { 4 } v ^ { 5 } } { 4 u ^ { 3 } v }$$

Evaluate

$$5uv^{4}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{20^{1}u^{4}v^{5}}{4^{1}u^{3}v^{1}}$$

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

$$\frac{20^{1}}{4^{1}}u^{4-3}v^{5-1}$$

Subtract 3 from 4.

$$\frac{20^{1}}{4^{1}}u^{1}v^{5-1}$$

Subtract 1 from 5.

$$\frac{20^{1}}{4^{1}}uv^{4}$$

Divide 20 by 4.

$$5uv^{4}$$

Differentiate w.r.t. v

$$20uv^{3}$$