Solve 2m^3/21n*27mm/16m^5

$$\frac { 2 m ^ { 3 } } { 21 n } \times \frac { 27 m m } { 16 m ^ { 5 } }$$

Evaluate

$$\frac{9}{56n}$$

Solution Steps

Multiply m and m to get m^{2}.

$$\frac{2m^{3}}{21n}\times \frac{27m^{2}}{16m^{5}}$$

Cancel out m^{2} in both numerator and denominator.

$$\frac{2m^{3}}{21n}\times \frac{27}{16m^{3}}$$

Multiply \frac{2m^{3}}{21n} times \frac{27}{16m^{3}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2m^{3}\times 27}{21n\times 16m^{3}}$$

Cancel out 2\times 3m^{3} in both numerator and denominator.

$$\frac{9}{7\times 8n}$$

Multiply 7 and 8 to get 56.

$$\frac{9}{56n}$$

Differentiate w.r.t. n

$$-\frac{9}{56n^{2}}$$