What is 20*((0.1)/3)^{-(1.67-1)/(1.67)} ?

The solution to 20*((0.1)/3)^{-(1.67-1)/(1.67)} is 78.27940…

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simplify 20*((0.1)/3)^{-(1.67-1)/(1.67)}

simplify

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

78.27940 \dots

Solution steps

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

Apply exponent rule:

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

= 20 \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}}

= 20 (\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

= 20 \cdot 3.91397 \dots

Multiply the numbers:

20 \cdot 3.91397 \dots = 78.27940 \dots

= 78.27940 \dots

1 0^{- 5.8} \cdot 17 \cdot 1000

4.28 \cdot 1 0^{- 7} \frac{1}{0.63}

(2 x^{3} y^{4} z^{5}) 11 x^{2} y^{2} z^{2}

e^{40.91} \cdot 1.27 \cdot 1 0^{- 20}

What is 20*((0.1)/3)^{-(1.67-1)/(1.67)} ?
The solution to 20*((0.1)/3)^{-(1.67-1)/(1.67)} is 78.27940…