What is 1.7*10^{-8}*e^{0.0039(-27-20)} ?

The solution to 1.7*10^{-8}*e^{0.0039(-27-20)} is 1.41528E-8

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simplify 1.710^{-8}e^{0.0039(-27-20)}

simplify

1.7 \cdot 1 0^{- 8} \cdot e^{0.0039 (- 27 - 20)}

1.41528 E - 8

Solution steps

1.7 \cdot 1 0^{- 8} e^{0.0039 (- 27 - 20)}

Apply exponent rule:

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

= 1.7 e^{0.0039 (- 27 - 20)} \frac{1}{1 0 ^{8}}

e^{0.0039 (- 27 - 20)} = e^{- 0.1833}

= 1.7 e^{- 0.1833} \frac{1}{1 0 ^{8}}

Apply exponent rule:

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

e^{- 0.1833} = \frac{1}{e ^{0.1833}}

= 1.7 \cdot \frac{1}{1 0 ^{8}} \cdot \frac{1}{e ^{0.1833}}

Multiply fractions:

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

= 1.7 \cdot \frac{1 \cdot 1}{1 0 ^{8} e ^{0.1833}}

\frac{1 \cdot 1}{1 0 ^{8} e ^{0.1833}} = 8.32518 E - 9

= 8.32518 E - 9 \cdot 1.7

Multiply the numbers:

1.7 \cdot 8.32518 E - 9 = 1.41528 E - 8

= 1.41528 E - 8

e^{- 3 l n (c o s (x))}

e^{- l n (u)}

210 \cdot 2

What is 1.7*10^{-8}*e^{0.0039(-27-20)} ?
The solution to 1.7*10^{-8}*e^{0.0039(-27-20)} is 1.41528E-8