Solve 18a^5b^4/3a^2b

$$\frac { 18 a ^ { 5 } b ^ { 4 } } { 3 a ^ { 2 } b }$$

Evaluate

$$6\left(ab\right)^{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{18^{1}a^{5}b^{4}}{3^{1}a^{2}b^{1}}$$

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

$$\frac{18^{1}}{3^{1}}a^{5-2}b^{4-1}$$

Subtract 2 from 5.

$$\frac{18^{1}}{3^{1}}a^{3}b^{4-1}$$

Subtract 1 from 4.

$$\frac{18^{1}}{3^{1}}a^{3}b^{3}$$

Divide 18 by 3.

$$6a^{3}b^{3}$$

Differentiate w.r.t. b

$$18b^{2}a^{3}$$