What is 50e^{-0.223*3} ?

The solution to 50e^{-0.223*3} is 25.61102…

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simplify 50e^{-0.223*3}

simplify

50 e^{- 0.223 \cdot 3}

25.61102 \dots

Solution steps

50 e^{- 0.223 \cdot 3}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{3 \cdot 0.223}}

Multiply the numbers:

0.223 \cdot 3 = 0.669

= 50 \cdot \frac{1}{e ^{0.669}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{0.669}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{0.669}}

e^{0.669} = 1.95228 \dots

= \frac{50}{1.95228 \dots}

Divide the numbers:

\frac{50}{1.95228 \dots} = 25.61102 \dots

= 25.61102 \dots

e^{- a t} sin (ω t u)

b^{2} \cdot 4 a^{2}

e^{- \frac{120}{144}}

981.64 \cdot 98.142 \cdot 1 0^{- 9}

x e^{- x^{4}}