What is 7*10^{-5}e^{(2.04)/((8.62*10^{-5))(875+273)}} ?

The solution to 7*10^{-5}e^{(2.04)/((8.62*10^{-5))(875+273)}} is 62810.29633…

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simplify 710^{-5}e^{(2.04)/((8.6210^{-5))(875+273)}}

simplify

7 \cdot 1 0^{- 5} e^{\frac{2.04}{( 8.62 \cdot 1 0 ^{- 5} ) ( 875 + 273 )}}

62810.29633 \dots

Solution steps

7 \cdot 1 0^{- 5} e^{\frac{2.04}{( 8.62 \cdot 1 0 ^{- 5} ) ( 875 + 273 )}}

Apply exponent rule:

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

= 7 e^{\frac{2.04}{1 0 ^{- 5} \cdot 8.62 ( 875 + 273 )}} \frac{1}{1 0 ^{5}}

e^{\frac{2.04}{8.62 \cdot 1 0 ^{- 5} ( 875 + 273 )}} = e^{\frac{2.04}{0.0989576}}

= 7 e^{\frac{2.04}{0.0989576}} \frac{1}{1 0 ^{5}}

Multiply fractions:

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

= \frac{1 \cdot 7 e ^{\frac{2.04}{0.0989576}}}{1 0 ^{5}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7 e ^{\frac{2.04}{0.0989576}}}{1 0 ^{5}}

1 0^{5} = 100000

= \frac{7 e ^{\frac{2.04}{0.0989576}}}{100000}

e^{\frac{2.04}{0.0989576}} = 897289947.62138 \dots

= \frac{7 \cdot 897289947.62138 \dots}{100000}

Multiply the numbers:

7 \cdot 897289947.62138 \dots = 6281029633.349696

= \frac{6281029633.349696}{100000}

Divide the numbers:

\frac{6281029633.349696}{100000} = 62810.29633 \dots

= 62810.29633 \dots

8 x^{3} + 4 x^{2} - 2 x - 1

8 x^{4} < 9 x^{3}

8^{3}

64 \cdot 2

(x + 3) (x - 2) < 0

What is 7*10^{-5}e^{(2.04)/((8.62*10^{-5))(875+273)}} ?
The solution to 7*10^{-5}e^{(2.04)/((8.62*10^{-5))(875+273)}} is 62810.29633…