SOLUTION: solve square root of x raised to the two-thirds power

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Question 595385: solve square root of x raised to the two-thirds power
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%28x%29%29%5E%282%2F3%29
The simplest way to to do this is to rewrite the square root as a factional exponent. Since 1/2 as an exponent means square root we get:
%28%28x%29%5E%281%2F2%29%29%5E%282%2F3%29

Next, apply the appropriate rule for exponents. For a power of a power the rule is to multiply the exponents:
x%5E%28%281%2F2%29%2A%282%2F3%29%29
which simplifies to:
x%5E%281%2F3%29
or, if you prefer radicals,
root%283%2C+x%29