simplify e^{-2.1^3}

Solution

simplify

e^{- 2. 1^{3}}

0.00009 \dots

Solution steps

e^{- 2. 1^{3}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2. 1^{3}}}

2. 1^{3} = 9.261

= \frac{1}{e ^{9.261}}

e^{9.261} = 10519.64773 \dots

= \frac{1}{10519.64773 \dots}

Divide the numbers:

\frac{1}{10519.64773 \dots} = 0.00009 \dots

= 0.00009 \dots

e^{- 0.47}

\frac{e ^{3 t}}{e ^{- 3 t}}

0.1 (\frac{8}{3})^{- 1}

\frac{x ^{2}}{2} \cdot (- \frac{1}{2}) e^{- 2 x}