Solve t^5u^4/t^2u

$$\frac { t ^ { 5 } u ^ { 4 } } { t ^ { 2 } u }$$

Evaluate

$$\left(tu\right)^{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{t^{5}u^{4}}{t^{2}u^{1}}$$

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

$$t^{5-2}u^{4-1}$$

Subtract 2 from 5.

$$t^{3}u^{4-1}$$

Subtract 1 from 4.

$$t^{3}u^{3}$$

Differentiate w.r.t. u

$$3u^{2}t^{3}$$