What is (101300)e^{-10/8400} ?

The solution to (101300)e^{-10/8400} is (101300)/(e^{1/840)}

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simplify (101300)e^{-10/8400}

simplify

(101300) e^{- \frac{10}{8400}}

\frac{101300}{e ^{\frac{1}{840}}}

Decimal Notation

101179.47651 \dots

Solution steps

(101300) e^{- \frac{10}{8400}}

Apply exponent rule:

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

= 101300 \cdot \frac{1}{e ^{\frac{10}{8400}}}

\frac{1}{e ^{\frac{10}{8400}}} = \frac{1}{e ^{\frac{1}{840}}}

= 101300 \cdot \frac{1}{e ^{\frac{1}{840}}}

Multiply fractions:

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

= \frac{1 \cdot 101300}{e ^{\frac{1}{840}}}

Multiply the numbers:

1 \cdot 101300 = 101300

= \frac{101300}{e ^{\frac{1}{840}}}

(4.1 \cdot 1 0^{- 8}) \cdot 1 0^{9}

\frac{e}{e ^{2}}

2.26012 \cdot 1 0^{- 6}

3.27 \cdot 1 0^{- 15}

5.1821 \cdot 1 0^{- 4}

What is (101300)e^{-10/8400} ?
The solution to (101300)e^{-10/8400} is (101300)/(e^{1/840)}