simplify e^{-0.1*5}

Solution

simplify

e^{- 0.1 \cdot 5}

0.60653 \dots

Solution steps

e^{- 0.1 \cdot 5}

Apply exponent rule:

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

= \frac{1}{e ^{5 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 5 = 0.5

= \frac{1}{e}

e = 1.64872 \dots

= \frac{1}{1.64872 \dots}

Divide the numbers:

\frac{1}{1.64872 \dots} = 0.60653 \dots

= 0.60653 \dots

\frac{0.8 4 ^{2}}{2. 4 ^{2}}

4.115226337 \cdot 1 0^{- 3}

e^{- (1 + 0.5)}

- 0.5 (9)^{- 1.5}

- 2 e^{- 2 t} (4 e^{2 t} + 4 t e^{2 t})