What is 2.01*e^{-0.0198*68.3} ?

The solution to 2.01*e^{-0.0198*68.3} is 0.51985…

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simplify 2.01e^{-0.019868.3}

simplify

2.01 \cdot e^{- 0.0198 \cdot 68.3}

0.51985 \dots

Solution steps

2.01 e^{- 0.0198 \cdot 68.3}

Apply exponent rule:

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

= 2.01 \cdot \frac{1}{e ^{0.0198 \cdot 68.3}}

Multiply the numbers:

0.0198 \cdot 68.3 = 1.35234

= 2.01 \cdot \frac{1}{e ^{1.35234}}

Multiply fractions:

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

= \frac{1 \cdot 2.01}{e ^{1.35234}}

Multiply the numbers:

1 \cdot 2.01 = 2.01

= \frac{2.01}{e ^{1.35234}}

e^{1.35234} = 3.86646 \dots

= \frac{2.01}{3.86646 \dots}

Divide the numbers:

\frac{2.01}{3.86646 \dots} = 0.51985 \dots

= 0.51985 \dots

0.142 x 1 0^{- 2}

0.142 x 1 0^{- 1}

9 \cdot 1 0^{9} 4. 5^{- 6}

2 π \cdot 50 \cdot 5.4 \cdot 1 0^{- 3} \cdot 15. 4^{2}

50 \cdot 1 0^{- 3} \cdot 2.5 \cdot 6

What is 2.01*e^{-0.0198*68.3} ?
The solution to 2.01*e^{-0.0198*68.3} is 0.51985…