What is simplify-0.2214e^{-2.09*0.38} ?

The solution to simplify-0.2214e^{-2.09*0.38} is -0.10006…

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simplify-0.2214e^{-2.09*0.38}

simplify

- 0.2214 e^{- 2.09 \cdot 0.38}

- 0.10006 \dots

Solution steps

- 0.2214 e^{- 2.09 \cdot 0.38}

Apply exponent rule:

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

= - 0.2214 \cdot \frac{1}{e ^{0.38 \cdot 2.09}}

Multiply the numbers:

2.09 \cdot 0.38 = 0.7942

= - 0.2214 \cdot \frac{1}{e ^{0.7942}}

Multiply fractions:

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

= - \frac{1 \cdot 0.2214}{e ^{0.7942}}

Multiply the numbers:

1 \cdot 0.2214 = 0.2214

= - \frac{0.2214}{e ^{0.7942}}

Simplify

\frac{0.2214}{e ^{0.7942}} : 0.10006 \dots

= - 0.10006 \dots

e^{(- 3 y^{2})}

2 π r^{2} r

e^{2 x + 1}

\frac{5 x}{2 y}

2 x^{2} e^{- 2 x}

What is simplify-0.2214e^{-2.09*0.38} ?
The solution to simplify-0.2214e^{-2.09*0.38} is -0.10006…