What is 1.8e^{-1.8*2} ?

The solution to 1.8e^{-1.8*2} is 0.04918…

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simplify 1.8e^{-1.8*2}

simplify

1.8 e^{- 1.8 \cdot 2}

0.04918 \dots

Solution steps

1.8 e^{- 1.8 \cdot 2}

Apply exponent rule:

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

= 1.8 \cdot \frac{1}{e ^{2 \cdot 1.8}}

Multiply the numbers:

1.8 \cdot 2 = 3.6

= 1.8 \cdot \frac{1}{e ^{3.6}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 1.8}{e ^{3.6}}

Multiply the numbers:

1 \cdot 1.8 = 1.8

= \frac{1.8}{e ^{3.6}}

e^{3.6} = 36.59823 \dots

= \frac{1.8}{36.59823 \dots}

Divide the numbers:

\frac{1.8}{36.59823 \dots} = 0.04918 \dots

= 0.04918 \dots

e^{- \frac{1}{2} \cdot y}

\frac{1}{6} e^{- 7.5} (e^{6} - 1)

(1 0^{- 0.1}) 36.458

\frac{5 z}{2 x}

(a - b) (a + b)