Solve 16mn/20n^2*12m^2

$$\frac { 16 m n } { 20 n ^ { 2 } } \times 12 m ^ { 2 }$$

Evaluate

$$\frac{48m^{3}}{5n}$$

Solution Steps

Cancel out 4n in both numerator and denominator.

$$\frac{4m}{5n}\times 12m^{2}$$

Express \frac{4m}{5n}\times 12 as a single fraction.

$$\frac{4m\times 12}{5n}m^{2}$$

Express \frac{4m\times 12}{5n}m^{2} as a single fraction.

$$\frac{4m\times 12m^{2}}{5n}$$

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

$$\frac{4m^{3}\times 12}{5n}$$

Multiply 4 and 12 to get 48.

$$\frac{48m^{3}}{5n}$$

Differentiate w.r.t. m

$$\frac{144m^{2}}{5n}$$