Solve 2a^2b/21ab^3

$$\frac { 2 a ^ { 2 } b } { 21 a b ^ { 3 } }$$

Evaluate

$$\frac{2a}{21b^{2}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{2^{1}a^{2}b^{1}}{21^{1}a^{1}b^{3}}$$

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

$$\frac{2^{1}}{21^{1}}a^{2-1}b^{1-3}$$

Subtract 1 from 2.

$$\frac{2^{1}}{21^{1}}a^{1}b^{1-3}$$

Subtract 3 from 1.

$$\frac{2^{1}}{21^{1}}ab^{-2}$$

Divide 2 by 21.

$$\frac{2}{21}a\times \frac{1}{b^{2}}$$

Differentiate w.r.t. b

$$-\frac{4a}{21b^{3}}$$