What is 0.045e^{-(0.0693*240)} ?

The solution to 0.045e^{-(0.0693*240)} is 2.6917E-9

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simplify 0.045e^{-(0.0693*240)}

simplify

0.045 e^{- (0.0693 \cdot 240)}

2.6917 E - 9

Solution steps

0.045 e^{- (0.0693 \cdot 240)}

Apply exponent rule:

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

= 0.045 \cdot \frac{1}{e ^{240 \cdot 0.0693}}

Multiply the numbers:

0.0693 \cdot 240 = 16.632

= 0.045 \cdot \frac{1}{e ^{16.632}}

Multiply fractions:

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

= \frac{1 \cdot 0.045}{e ^{16.632}}

Multiply the numbers:

1 \cdot 0.045 = 0.045

= \frac{0.045}{e ^{16.632}}

e^{16.632} = 16718057.82362 \dots

= \frac{0.045}{16718057.82362 \dots}

Divide the numbers:

\frac{0.045}{16718057.82362 \dots} = 2.6917 E - 9

= 2.6917 E - 9

1.87 \cdot 1 0^{- 4}

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1.6 \cdot 1 0^{- 19} (1250)

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What is 0.045e^{-(0.0693*240)} ?
The solution to 0.045e^{-(0.0693*240)} is 2.6917E-9