Solve 4a^6b^11/7a^2b

$$\frac { 4 a ^ { 6 } b ^ { 11 } } { 7 a ^ { 2 } b }$$

Evaluate

$$\frac{4a^{4}b^{10}}{7}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{4^{1}a^{6}b^{11}}{7^{1}a^{2}b^{1}}$$

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

$$\frac{4^{1}}{7^{1}}a^{6-2}b^{11-1}$$

Subtract 2 from 6.

$$\frac{4^{1}}{7^{1}}a^{4}b^{11-1}$$

Subtract 1 from 11.

$$\frac{4^{1}}{7^{1}}a^{4}b^{10}$$

Divide 4 by 7.

$$\frac{4}{7}a^{4}b^{10}$$

Differentiate w.r.t. b

$$\frac{40a^{4}b^{9}}{7}$$