Solve -15a^2b^4/-5ab^3

$$\frac { - 15 a ^ { 2 } b ^ { 4 } } { - 5 a b ^ { 3 } }$$

Evaluate

$$3ab$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{\left(-15\right)^{1}a^{2}b^{4}}{\left(-5\right)^{1}a^{1}b^{3}}$$

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

$$\frac{\left(-15\right)^{1}}{\left(-5\right)^{1}}a^{2-1}b^{4-3}$$

Subtract 1 from 2.

$$\frac{\left(-15\right)^{1}}{\left(-5\right)^{1}}a^{1}b^{4-3}$$

Subtract 3 from 4.

$$\frac{\left(-15\right)^{1}}{\left(-5\right)^{1}}ab^{1}$$

Divide -15 by -5.

$$3ab$$

Differentiate w.r.t. b

$$3a$$