Solve 3/153,9exp(-32/2477,572)

$$\frac { 3 } { 153,9 } \exp ( - \frac { 32 } { 2477,572 } )$$

Evaluate

$$-\frac{80000epx}{317748609}$$

Solution Steps

Expand \frac{3}{153,9} by multiplying both numerator and the denominator by 10.

$$\frac{30}{1539}exp\left(-\frac{32}{2477,572}\right)$$

Reduce the fraction \frac{30}{1539} to lowest terms by extracting and canceling out 3.

$$\frac{10}{513}exp\left(-\frac{32}{2477,572}\right)$$

Expand \frac{32}{2477,572} by multiplying both numerator and the denominator by 1000.

$$\frac{10}{513}exp\left(-\frac{32000}{2477572}\right)$$

Reduce the fraction \frac{32000}{2477572} to lowest terms by extracting and canceling out 4.

$$\frac{10}{513}exp\left(-\frac{8000}{619393}\right)$$

Multiply \frac{10}{513} times -\frac{8000}{619393} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\left(-8000\right)}{513\times 619393}exp$$

Do the multiplications in the fraction \frac{10\left(-8000\right)}{513\times 619393}.

$$\frac{-80000}{317748609}exp$$

Fraction \frac{-80000}{317748609} can be rewritten as -\frac{80000}{317748609} by extracting the negative sign.

$$-\frac{80000}{317748609}exp$$

Differentiate w.r.t. x

$$-\frac{80000ep}{317748609}$$