What is 50e^{-0.5364(4)} ?

The solution to 50e^{-0.5364(4)} is 5.84989…

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simplify 50e^{-0.5364(4)}

simplify

50 e^{- 0.5364 (4)}

5.84989 \dots

Solution steps

50 e^{- 0.5364 (4)}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{4 \cdot 0.5364}}

Multiply the numbers:

0.5364 \cdot 4 = 2.1456

= 50 \cdot \frac{1}{e ^{2.1456}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{2.1456}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{2.1456}}

e^{2.1456} = 8.54716 \dots

= \frac{50}{8.54716 \dots}

Divide the numbers:

\frac{50}{8.54716 \dots} = 5.84989 \dots

= 5.84989 \dots

sin (wt) e^{- s t} d t

988 \cdot 9.165 \cdot 1 0^{- 4}

10.15 (10.15 (1 0^{- 3}))