What is 1.41*e^{-1.96*0.019} ?

The solution to 1.41*e^{-1.96*0.019} is 1.35845…

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simplify 1.41e^{-1.960.019}

simplify

1.41 \cdot e^{- 1.96 \cdot 0.019}

1.35845 \dots

Solution steps

1.41 e^{- 1.96 \cdot 0.019}

Apply exponent rule:

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

= 1.41 \cdot \frac{1}{e ^{0.019 \cdot 1.96}}

Multiply the numbers:

1.96 \cdot 0.019 = 0.03724

= 1.41 \cdot \frac{1}{e ^{0.03724}}

Multiply fractions:

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

= \frac{1 \cdot 1.41}{e ^{0.03724}}

Multiply the numbers:

1 \cdot 1.41 = 1.41

= \frac{1.41}{e ^{0.03724}}

e^{0.03724} = 1.03794 \dots

= \frac{1.41}{1.03794 \dots}

Divide the numbers:

\frac{1.41}{1.03794 \dots} = 1.35845 \dots

= 1.35845 \dots

2 x^{2} (7 - 3 x^{3})^{2}

2.98 \cdot 1 0^{- 4}

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e^{- 2} \cdot e^{7}

e^{- 0.4 \cdot 2}