Simplify 90/(1+271e^(-0.122*33))

$\frac{90}{1 + 271 e^{- 0.122 \cdot 33}}$

Simplify the denominator.

Tap for more steps…

Multiply $- 0.122$ by $33$ .

$\frac{90}{1 + 271 e^{- 4.026}}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{90}{1 + 271 \frac{1}{e^{4.026}}}$

Combine $271$ and $\frac{1}{e^{4.026}}$ .

$\frac{90}{1 + \frac{271}{e^{4.026}}}$

Write $1$ as a fraction with a common denominator.

$\frac{90}{\frac{e^{4.026}}{e^{4.026}} + \frac{271}{e^{4.026}}}$

Combine the numerators over the common denominator.

$\frac{90}{\frac{e^{4.026} + 271}{e^{4.026}}}$

Multiply the numerator by the reciprocal of the denominator.

$90 \frac{e^{4.026}}{e^{4.026} + 271}$

Combine $90$ and $\frac{e^{4.026}}{e^{4.026} + 271}$ .

$\frac{90 e^{4.026}}{e^{4.026} + 271}$

The result can be shown in multiple forms.

Exact Form:

$\frac{90 e^{4.026}}{e^{4.026} + 271}$

Decimal Form:

$15.42112687 \dots$

Simplify 90/(1+271e^(-0.122*33))

Our Professionals