Solve g^8h^3/g^2h^2

$$\frac { g ^ { 8 } h ^ { 3 } } { g ^ { 2 } h ^ { 2 } }$$

Evaluate

$$hg^{6}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{g^{8}h^{3}}{g^{2}h^{2}}$$

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

$$g^{8-2}h^{3-2}$$

Subtract 2 from 8.

$$g^{6}h^{3-2}$$

Subtract 2 from 3.

$$g^{6}h^{1}$$

For any term t, t^{1}=t.

$$g^{6}h$$

Differentiate w.r.t. g

$$6hg^{5}$$