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how do you find out 20^0.2134, like what does it mean? 20 times itself 0.2134 times, what does that mean or the 1.41435 root of 32, what does that MEAN?

 Jun 3, 2016
 #1
avatar+1904 
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 \({20}^{0.2134}\)

 

\({20}^{\frac{2,134}{10,000}}\)

 

\({20}^{\frac{1,067}{5,000}}\)

 

\(\sqrt[5,000]{{20}^{1067}}\)

 

sqrt[5,000{1.58126760396336420587886989624154146132466132628236029966329185958929952787496364759344049766747753511864904581497509305773288076082651153802354218703701960876185487716067469815989771673510325266593568498806832084814068346425541170795393246600905903391257856650280288712760480168148830103270568366129692393209146672729292800*10^801}

 

1.8951334669765444

 Jun 3, 2016
edited by gibsonj338  Jun 3, 2016
 #2
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What don't you understand? 10^1/2 means you take the square root of 10=3.1622.......or 10^2.5 means you multiply 10 x 10 x sqrt(10), or 10^1/2.=316.22....etc.

 Jun 3, 2016
 #3
avatar+33653 
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It might help to think of the meaning in stages as follows:

 

powers

.

 Jun 3, 2016
 #4
avatar+33653 
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In step 4) I should have said: "... the two-thousand-five-hundredth root ..."  not "...the one-thousand-two-hundred-and-fiftyth root...".  I obviously had a senior moment!!!

.

Alan  Jun 3, 2016
 #5
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Bravo Alan: excellent breakdown. Kudos!!!.

 Jun 3, 2016

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