Solve 0.32/n/frac{2432*10^-2{1000}}

$$\frac { \frac { 0.32 } { n } } { \frac { 2432 \times 10 ^ { - 2 } } { 1000 } }$$

Evaluate

$$\frac{250}{19n}$$

Solution Steps

Divide \frac{0.32}{n} by \frac{2432\times 10^{-2}}{1000} by multiplying \frac{0.32}{n} by the reciprocal of \frac{2432\times 10^{-2}}{1000}.

$$\frac{0.32\times 1000}{n\times 2432\times 10^{-2}}$$

Cancel out 8 in both numerator and denominator.

$$\frac{0.32\times 125}{304\times 10^{-2}n}$$

Multiply 0.32 and 125 to get 40.

$$\frac{40}{304\times 10^{-2}n}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{40}{304\times \frac{1}{100}n}$$

Multiply 304 and \frac{1}{100} to get \frac{76}{25}.

$$\frac{40}{\frac{76}{25}n}$$

Differentiate w.r.t. n

$$-\frac{250}{19n^{2}}$$