Solve -21w^5x^2/7w^4x^5

$$\frac{ -21 { w }^{ 5 } { x }^{ 2 } }{ 7 { w }^{ 4 } { x }^{ 5 } }$$

Evaluate

$$-\frac{3w}{x^{3}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{\left(-21\right)^{1}w^{5}x^{2}}{7^{1}w^{4}x^{5}}$$

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

$$\frac{\left(-21\right)^{1}}{7^{1}}w^{5-4}x^{2-5}$$

Subtract 4 from 5.

$$\frac{\left(-21\right)^{1}}{7^{1}}w^{1}x^{2-5}$$

Subtract 5 from 2.

$$\frac{\left(-21\right)^{1}}{7^{1}}wx^{-3}$$

Divide -21 by 7.

$$-3w\times \frac{1}{x^{3}}$$

Differentiate w.r.t. x

$$\frac{9w}{x^{4}}$$