document.write( "Question 254529: rewrite with rational exponents (^5√2x^6y)^7 \n" ); document.write( "

Algebra.Com's Answer #187415 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28root%285%2C+2x%5E6y%29%29%5E7\"$
\n" ); document.write( "Radicals can we rewritten using fractional exponents. 5th roots, like this one, can be replaced with an exponent of 1/5:
\n" ); document.write( " $\"%28%282x%5E6y%29%5E%281%2F5%29%29%5E7\"$
\n" ); document.write( "Now we can use the rule for exponents, $\"%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29\"$ :
\n" ); document.write( " $\"%282x%5E6y%29%5E%287%2F5%29\"$
\n" ); document.write( "Raising each factor to the 7/5 power:
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\n" ); document.write( "\n" ); document.write( " $\"2%5E%287%2F5%29x%5E%2842%2F5%29y%5E%287%2F5%29\"$
\n" ); document.write( "If you can't read the exponents, they are:
\n" ); document.write( "7/5, 42/5, and 7/5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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