Solve -5ab^3div(-10ab)

$$- 5 a b ^ { 3 } \div ( - 10 a b )$$

Evaluate

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

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{\left(-5\right)^{1}a^{1}b^{3}}{\left(-10\right)^{1}a^{1}b^{1}}$$

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

$$\frac{\left(-5\right)^{1}}{\left(-10\right)^{1}}a^{1-1}b^{3-1}$$

Subtract 1 from 1.

$$\frac{\left(-5\right)^{1}}{\left(-10\right)^{1}}a^{0}b^{3-1}$$

For any number a except 0, a^{0}=1.

$$\frac{\left(-5\right)^{1}}{\left(-10\right)^{1}}b^{3-1}$$

Subtract 1 from 3.

$$\frac{\left(-5\right)^{1}}{\left(-10\right)^{1}}b^{2}$$

Reduce the fraction \frac{-5}{-10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}b^{2}$$

Differentiate w.r.t. b

$$b$$