simplify e^{-0.4*2}

Solution

simplify

e^{- 0.4 \cdot 2}

0.44932 \dots

Solution steps

e^{- 0.4 \cdot 2}

Apply exponent rule:

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

= \frac{1}{e ^{2 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 2 = 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

13 b

7.5 \cdot 1 0^{- 3} (0.1 - x)

(x^{- 3})^{2 \circ} x^{12}

\frac{( e ^{x l n (x)} )}{e ^{x}}

2 \cdot 1.65