Solve 8k^2m/14m^2div8km^2

$$\frac { 8 k ^ { 2 } m } { 14 m ^ { 2 } } \div 8 k m ^ { 2 }$$

Evaluate

$$\frac{mk^{3}}{14}$$

Solution Steps

Express \frac{\frac{8k^{2}m}{14m^{2}}}{8} as a single fraction.

$$\frac{8k^{2}m}{14m^{2}\times 8}km^{2}$$

Cancel out 2\times 4m in both numerator and denominator.

$$\frac{k^{2}}{2\times 7m}km^{2}$$

Multiply 2 and 7 to get 14.

$$\frac{k^{2}}{14m}km^{2}$$

Express \frac{k^{2}}{14m}k as a single fraction.

$$\frac{k^{2}k}{14m}m^{2}$$

Express \frac{k^{2}k}{14m}m^{2} as a single fraction.

$$\frac{k^{2}km^{2}}{14m}$$

Cancel out m in both numerator and denominator.

$$\frac{kmk^{2}}{14}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{k^{3}m}{14}$$

Differentiate w.r.t. m

$$\frac{k^{3}}{14}$$