Solve 7bw^5/5b^3w^4

$$\frac { 7 b w ^ { 5 } } { 5 b ^ { 3 } w ^ { 4 } }$$

Evaluate

$$\frac{7w}{5b^{2}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{7^{1}b^{1}w^{5}}{5^{1}b^{3}w^{4}}$$

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

$$\frac{7^{1}}{5^{1}}b^{1-3}w^{5-4}$$

Subtract 3 from 1.

$$\frac{7^{1}}{5^{1}}b^{-2}w^{5-4}$$

Subtract 4 from 5.

$$\frac{7^{1}}{5^{1}}\times \frac{1}{b^{2}}w^{1}$$

Divide 7 by 5.

$$\frac{7}{5}\times \frac{1}{b^{2}}w$$

Differentiate w.r.t. w

$$\frac{7}{5b^{2}}$$