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How do you solve a number to the 1/4th power, for example (36)1/4? Thanks.

 Jun 1, 2016
 #1
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To start things off if a power is in a fraction form it means that it wants you to take the root of the denominator. A rewrite is best suited to solve these kinds of problems.

 

Let's take your example, 36^(1/4)...

 

Here's the rewrite...

 

\(\sqrt[4]{36}\)

 

I don't feel like doing the exact answer but here's an estimate

 

2.4494897427831781

 Jun 1, 2016
 #2
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Convert the the number(here 36) into a square number(6^2) The you will end up with

6^(2/4)=6^(1/2)

which is sqaure root of 6.

 Jun 1, 2016

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