Solve 54u^5v^4/9uv^3

$$\frac { 54 u ^ { 5 } v ^ { 4 } } { 9 u v ^ { 3 } }$$

Evaluate

$$6vu^{4}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{54^{1}u^{5}v^{4}}{9^{1}u^{1}v^{3}}$$

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

$$\frac{54^{1}}{9^{1}}u^{5-1}v^{4-3}$$

Subtract 1 from 5.

$$\frac{54^{1}}{9^{1}}u^{4}v^{4-3}$$

Subtract 3 from 4.

$$\frac{54^{1}}{9^{1}}u^{4}v^{1}$$

Divide 54 by 9.

$$6u^{4}v$$

Differentiate w.r.t. v

$$6u^{4}$$