Solve 14a^2b^3/7a^8b

$$\frac { 14 a ^ { 2 } b ^ { 3 } } { 7 a ^ { 8 } b }$$

Evaluate

$$\frac{2b^{2}}{a^{6}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{14^{1}a^{2}b^{3}}{7^{1}a^{8}b^{1}}$$

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

$$\frac{14^{1}}{7^{1}}a^{2-8}b^{3-1}$$

Subtract 8 from 2.

$$\frac{14^{1}}{7^{1}}a^{-6}b^{3-1}$$

Subtract 1 from 3.

$$\frac{14^{1}}{7^{1}}\times \frac{1}{a^{6}}b^{2}$$

Divide 14 by 7.

$$2\times \frac{1}{a^{6}}b^{2}$$

Differentiate w.r.t. b

$$\frac{4b}{a^{6}}$$