SOLUTION: HOW DO I SOLVE THIS PROBLEM 4 TO THE 3/4 POWER.

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Question 33386: HOW DO I SOLVE THIS PROBLEM 4 TO THE 3/4 POWER.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+4%5E%283%2F4%29+

this is either visualised as +%284%5E3%29%5E%281%2F4%29+ or as +%284%5E%281%2F4%29%29%5E3+. The second is easier to work with, since 4%5E3 is a big number, whereas 4%5E%281%2F4%29 is small...so easier, in my opinion.

4%5E%281%2F4%29 means what is the number "a" such that a*a*a*a=4? You should LEARN this sort of thing.

Hopefully you will know b if b*b=4? --> b is 2.
OK, so what about c*c=2? --> answer is +c+=+sqrt%282%29+

So, +4%5E%281%2F4%29+=+sqrt%282%29+

--> +sqrt%282%29%2Asqrt%282%29%2Asqrt%282%29%2Asqrt%282%29+=+4+. Check it on your calculator.

So we have
+%284%5E%281%2F4%29%29%5E3+
+%28sqrt%282%29%29%5E3+
+sqrt%282%29%2Asqrt%282%29%2Asqrt%282%29+
+2sqrt%282%29+

jon.