Solve 7w^5x^3/35wx^2

$$\frac { 7 w ^ { 5 } x ^ { 3 } } { 35 w x ^ { 2 } }$$

Evaluate

$$\frac{xw^{4}}{5}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{7^{1}w^{5}x^{3}}{35^{1}w^{1}x^{2}}$$

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

$$\frac{7^{1}}{35^{1}}w^{5-1}x^{3-2}$$

Subtract 1 from 5.

$$\frac{7^{1}}{35^{1}}w^{4}x^{3-2}$$

Subtract 2 from 3.

$$\frac{7^{1}}{35^{1}}w^{4}x^{1}$$

Reduce the fraction \frac{7}{35} to lowest terms by extracting and canceling out 7.

$$\frac{1}{5}w^{4}x$$

Differentiate w.r.t. x

$$\frac{w^{4}}{5}$$