document.write( "Question 547474: i need help in solving rational exponets like this (1/16) TO THE 1/4 POWER how do you solve that \n" ); document.write( "

Algebra.Com's Answer #357513 by lwsshak3(11628) $\"\"$ $\"About$

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i need help in solving rational exponets like this (1/16) TO THE 1/4 POWER how do you solve that
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\n" ); document.write( "The simpliest way to do this is to raise both numerator and denominator to the 1/4 power
\n" ); document.write( "Raising the number 1 to any power=1, so 1^1/4=1
\n" ); document.write( "Raising 16 to the 1/4 power is like taking the fourth root of 16,. that is, 16^(1/4)=2
\n" ); document.write( "So (1/16)^(1/4)=1/2
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\n" ); document.write( "Another way to show it:
\n" ); document.write( "(1/16)^(1/4)= (1/2^4)^(1/4)=(2^-4)^(1/4)=2^-1=1/2 \n" ); document.write( "

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