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Raise a number to the power of a decimal: 273.16^1.5

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Hi,
Use the key labeled [Y to the x]
273.16 [Y to the x] ( 1.5) [=] should yield 4514.66631

Hope it helps.
Thanks for using FixYa

Posted on Nov 20, 2009

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1) We know that log(x) = N means that 10^N = x. So in this case, we need to find a number that 10 can be raised to in order to get 4 and 2.
2) To get a better idea of what the answer to the problem will be, we look at the scale of the numbers. 4 and 2 are both smaller than 10. In order to raise any number to a power and get a smaller number, that power must be less than 1. If the power was 1 or greater, the answer would be more than 10. Therefore, we know that log(4) is a decimal less than 1 and log(2) is a decimal less than 1.
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4) Now to solve the equation, the only thing that must be calculated is log(2). This would be done on a calculator. In step 2, we analyzed that log(2) must be less than 1. Therefore, the calculator is correct with the answer 0.301.

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155b19e.jpg
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