Solve 2f^6g^5/2fg^3

$$\frac { 2 f ^ { 6 } g ^ { 5 } } { 2 f g ^ { 3 } }$$

Evaluate

$$g^{2}f^{5}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{2^{1}f^{6}g^{5}}{2^{1}f^{1}g^{3}}$$

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

$$2^{1-1}f^{6-1}g^{5-3}$$

Subtract 1 from 1.

$$2^{0}f^{6-1}g^{5-3}$$

For any number a except 0, a^{0}=1.

$$f^{6-1}g^{5-3}$$

Subtract 1 from 6.

$$f^{5}g^{5-3}$$

Subtract 3 from 5.

$$f^{5}g^{2}$$

Differentiate w.r.t. g

$$2gf^{5}$$