What is 298.15*((0.1)/3)^{-(1.67-1)/(1.67)} ?

The solution to 298.15*((0.1)/3)^{-(1.67-1)/(1.67)} is 1166.95020…

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simplify 298.15*((0.1)/3)^{-(1.67-1)/(1.67)}

simplify

298.15 \cdot (\frac{0.1}{3})^{- \frac{1.67 - 1}{1.67}}

1166.95020 \dots

Solution steps

298.15 (\frac{0.1}{3})^{- \frac{1.67 - 1}{1.67}}

Apply exponent rule:

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

= 298.15 \cdot \frac{1}{( \frac{0.1}{3} ) ^{\frac{1.67 - 1}{1.67}}}

\frac{1}{( \frac{0.1}{3} ) ^{\frac{1.67 - 1}{1.67}}} = (\frac{3 ^{0.67}}{0. 1 ^{0.67}})^{\frac{1}{1.67}}

= 298.15 (\frac{3 ^{0.67}}{0. 1 ^{0.67}})^{\frac{1}{1.67}}

(\frac{3 ^{0.67}}{0. 1 ^{0.67}})^{\frac{1}{1.67}} = 3.91397 \dots

= 3.91397 \dots \cdot 298.15

Multiply the numbers:

298.15 \cdot 3.91397 \dots = 1166.95020 \dots

= 1166.95020 \dots

1 e^{- 0.229 \cdot 1}

(0.1 \cdot 1 0^{- 3}) \cdot (3 \cdot 1 0^{8})^{2}

100000000000 0^{100000000 0^{10}}

e^{\frac{1}{2} - 6 x} \cdot 6 e^{\frac{1}{2} + 6 x}

- e^{- x} \cdot 9 e^{3 x}

What is 298.15*((0.1)/3)^{-(1.67-1)/(1.67)} ?
The solution to 298.15*((0.1)/3)^{-(1.67-1)/(1.67)} is 1166.95020…