Solve 48w^7x^8/18w^5x^6

$$\frac { 48 w ^ { 7 } x ^ { 8 } } { 18 w ^ { 5 } x ^ { 6 } }$$

Evaluate

$$\frac{8\left(wx\right)^{2}}{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{48^{1}w^{7}x^{8}}{18^{1}w^{5}x^{6}}$$

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

$$\frac{48^{1}}{18^{1}}w^{7-5}x^{8-6}$$

Subtract 5 from 7.

$$\frac{48^{1}}{18^{1}}w^{2}x^{8-6}$$

Subtract 6 from 8.

$$\frac{48^{1}}{18^{1}}w^{2}x^{2}$$

Reduce the fraction \frac{48}{18} to lowest terms by extracting and canceling out 6.

$$\frac{8}{3}w^{2}x^{2}$$

Differentiate w.r.t. x

$$\frac{16xw^{2}}{3}$$