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What if the power it's fraction

 May 15, 2015

Best Answer 

 #1
avatar+1904 
+13

If I am reading the question correctly, when the expoent (or power as you say) is a fraction, the numerator is the number you take the power to and the demonator is the number you take the root of.

 

For example:

 

$${{\mathtt{16}}}^{\left({\frac{{\mathtt{11}}}{{\mathtt{2}}}}\right)}$$ is the same as $${\sqrt[{{\mathtt{{\mathtt{2}}}}}]{{{\mathtt{16}}}^{{\mathtt{11}}}}}$$.  When you multiply the 16 by 16 11 times you get $${\sqrt[{{\mathtt{{\mathtt{2}}}}}]{{\mathtt{17\,592\,186\,044\,416}}}}$$.  When you take the square root of 17,592,186,044,416 you get 4,194,304.

 May 15, 2015
 #1
avatar+1904 
+13
Best Answer

If I am reading the question correctly, when the expoent (or power as you say) is a fraction, the numerator is the number you take the power to and the demonator is the number you take the root of.

 

For example:

 

$${{\mathtt{16}}}^{\left({\frac{{\mathtt{11}}}{{\mathtt{2}}}}\right)}$$ is the same as $${\sqrt[{{\mathtt{{\mathtt{2}}}}}]{{{\mathtt{16}}}^{{\mathtt{11}}}}}$$.  When you multiply the 16 by 16 11 times you get $${\sqrt[{{\mathtt{{\mathtt{2}}}}}]{{\mathtt{17\,592\,186\,044\,416}}}}$$.  When you take the square root of 17,592,186,044,416 you get 4,194,304.

gibsonj338 May 15, 2015

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