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Can you square root an exponent?

 Aug 31, 2016
 #1
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square root equals to the power of 0,5 so you can multiply them.

 Aug 31, 2016
 #2
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Yeah! Of course.

 

\(\sqrt{2}^{\sqrt2}\text{<--- this looks like fun}\)

\(2^{\frac{1}{\sqrt2}}\)

 

\(\sqrt2 ^ {\sqrt 2^{\sqrt2}}\text{ <--- this looks like more fun}\\ = 2^{\frac{1}{\sqrt2}\times \sqrt2}\\ = 2\)

 Aug 31, 2016

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