simplify e^{-0.1*8}

Solution

simplify

e^{- 0.1 \cdot 8}

0.44932 \dots

Solution steps

e^{- 0.1 \cdot 8}

Apply exponent rule:

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

= \frac{1}{e ^{8 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 8 = 0.8

= \frac{1}{e ^{0.8}}

e^{0.8} = 2.22554 \dots

= \frac{1}{2.22554 \dots}

Divide the numbers:

\frac{1}{2.22554 \dots} = 0.44932 \dots

= 0.44932 \dots

e^{- 0.1 \cdot 5}

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

4.115226337 \cdot 1 0^{- 3}

e^{- (1 + 0.5)}