Solve 14a^2b/-7ab^2

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

Evaluate

$$-\frac{2a}{b}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{14^{1}a^{2}b^{1}}{\left(-7\right)^{1}a^{1}b^{2}}$$

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

$$\frac{14^{1}}{\left(-7\right)^{1}}a^{2-1}b^{1-2}$$

Subtract 1 from 2.

$$\frac{14^{1}}{\left(-7\right)^{1}}a^{1}b^{1-2}$$

Subtract 2 from 1.

$$\frac{14^{1}}{\left(-7\right)^{1}}a\times \frac{1}{b}$$

Divide 14 by -7.

$$-2a\times \frac{1}{b}$$

Differentiate w.r.t. b

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