What is (6.31*10^{-6})e^{-100pi(7.22)sqrt(((3.18*10^{-6)))/(12.3)}} ?

The solution to (6.31*10^{-6})e^{-100pi(7.22)sqrt(((3.18*10^{-6)))/(12.3)}} is 1.99136E-6

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simplify (6.3110^{-6})e^{-100pi(7.22)sqrt(((3.1810^{-6)))/(12.3)}}

simplify

(6.31 \cdot 1 0^{- 6}) e^{- 100 π (7.22) \frac{( 3.18 \cdot 1 0 ^{- 6} )}{12.3}}

1.99136 E - 6

Solution steps

(6.31 \cdot 1 0^{- 6}) e^{- 100 π (7.22) \frac{( 3.18 \cdot 1 0 ^{- 6} )}{12.3}}

Apply exponent rule:

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

= 6.31 e^{- 100 \cdot 7.22 π \frac{1 0 ^{- 6} \cdot 3.18}{12.3}} \frac{1}{1 0 ^{6}}

Apply exponent rule:

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

= 6.31 \cdot \frac{1}{1 0 ^{6}} \cdot \frac{1}{e ^{100 \cdot 7.22 π \frac{1 0 ^{- 6} \cdot 3.18}{12.3}}}

\frac{1}{e ^{100 π 7.22 \frac{3.18 \cdot 1 0 ^{- 6}}{12.3}}} = \frac{1}{e ^{1.15331 \dots}}

= 6.31 \cdot \frac{1}{1 0 ^{6}} \cdot \frac{1}{e ^{1.15331 \dots}}

Multiply fractions:

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

= 6.31 \cdot \frac{1 \cdot 1}{1 0 ^{6} e ^{1.15331 \dots}}

\frac{1 \cdot 1}{1 0 ^{6} e ^{1.15331 \dots}} = 3.15589 E - 7

= 3.15589 E - 7 \cdot 6.31

Multiply the numbers:

6.31 \cdot 3.15589 E - 7 = 1.99136 E - 6

= 1.99136 E - 6

- n e^{- 2 n}

- 0.6 e^{- 0.2 (0.5)}

a^{x}^{y}

50 e^{- 0}

What is (6.31*10^{-6})e^{-100pi(7.22)sqrt(((3.18*10^{-6)))/(12.3)}} ?
The solution to (6.31*10^{-6})e^{-100pi(7.22)sqrt(((3.18*10^{-6)))/(12.3)}} is 1.99136E-6