What is 20e^{-0.0001216(50000)} ?

The solution to 20e^{-0.0001216(50000)} is 0.04576…

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simplify 20e^{-0.0001216(50000)}

simplify

20 e^{- 0.0001216 (50000)}

0.04576 \dots

Solution steps

20 e^{- 0.0001216 (50000)}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{50000 \cdot 0.0001216}}

Multiply the numbers:

0.0001216 \cdot 50000 = 6.08

= 20 \cdot \frac{1}{e ^{6.08}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{6.08}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{6.08}}

e^{6.08} = 437.02919 \dots

= \frac{20}{437.02919 \dots}

Divide the numbers:

\frac{20}{437.02919 \dots} = 0.04576 \dots

= 0.04576 \dots

2.31 \cdot 1 0^{- 3}

2.31 \cdot 1 0^{- 4}

8 e^{- 8}

(e^{2 t})^{2}

What is 20e^{-0.0001216(50000)} ?
The solution to 20e^{-0.0001216(50000)} is 0.04576…