document.write( "Question 595385: solve square root of x raised to the two-thirds power \n" ); document.write( "

Algebra.Com's Answer #377115 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28sqrt%28x%29%29%5E%282%2F3%29\"$
\n" ); document.write( "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:
\n" ); document.write( " $\"%28%28x%29%5E%281%2F2%29%29%5E%282%2F3%29\"$

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

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