Solve 36k^3m^4/30k^5m

$$\frac{ 36 { k }^{ 3 } { m }^{ 4 } }{ 30 { k }^{ 5 } m }$$

Evaluate

$$\frac{6m^{3}}{5k^{2}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{36^{1}k^{3}m^{4}}{30^{1}k^{5}m^{1}}$$

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

$$\frac{36^{1}}{30^{1}}k^{3-5}m^{4-1}$$

Subtract 5 from 3.

$$\frac{36^{1}}{30^{1}}k^{-2}m^{4-1}$$

Subtract 1 from 4.

$$\frac{36^{1}}{30^{1}}\times \frac{1}{k^{2}}m^{3}$$

Reduce the fraction \frac{36}{30} to lowest terms by extracting and canceling out 6.

$$\frac{6}{5}\times \frac{1}{k^{2}}m^{3}$$

Differentiate w.r.t. m

$$\frac{18\times \left(\frac{m}{k}\right)^{2}}{5}$$