What is 10e^{-(4.17(10))/((0.082)^2(298.15))} ?

The solution to 10e^{-(4.17(10))/((0.082)^2(298.15))} is 9.25684E-9

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simplify 10e^{-(4.17(10))/((0.082)^2(298.15))}

simplify

10 e^{- \frac{4.17 ( 10 )}{( 0.082 ) ^{2} ( 298.15 )}}

9.25684 E - 9

Solution steps

10 e^{- \frac{4.17 ( 10 )}{( 0.082 ) ^{2} ( 298.15 )}}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{\frac{10 \cdot 4.17}{0.08 2 ^{2} \cdot 298.15}}}

Multiply the numbers:

4.17 \cdot 10 = 41.7

= 10 \cdot \frac{1}{e ^{\frac{41.7}{0.08 2 ^{2} \cdot 298.15}}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{\frac{41.7}{0.08 2 ^{2} \cdot 298.15}}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{\frac{41.7}{0.08 2 ^{2} \cdot 298.15}}}

0.08 2^{2} \cdot 298.15 = 2.0047606

= \frac{10}{e ^{\frac{41.7}{2.0047606}}}

e^{\frac{41.7}{2.0047606}} = 1080282693.41433 \dots

= \frac{10}{1080282693.41433 \dots}

Divide the numbers:

\frac{10}{1080282693.41433 \dots} = 9.25684 E - 9

= 9.25684 E - 9

5.011 \cdot 1 0^{- 5}

5.67 \cdot 1 0^{- 8} \cdot 4 π (7 \cdot 1 0^{8})^{2} \cdot 578 0^{4}

9.3 \cdot 1 0^{- 4}

(3 ln (y))^{2} \cdot ln (y)

(9 \cdot 1 0^{- 12}) (6.02214 \cdot 1 0^{23})

What is 10e^{-(4.17(10))/((0.082)^2(298.15))} ?
The solution to 10e^{-(4.17(10))/((0.082)^2(298.15))} is 9.25684E-9