document.write( "Question 421411: cube root of 125^8/cube root of y^3 \n" ); document.write( "

Algebra.Com's Answer #294589 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"root%283%2C+125%5E8%29%2Froot%283%2C+y%5E3%29\"$
\n" ); document.write( "A fact about radicals that will help us with this problem is
\n" ); document.write( " $\"root%28p%2C+a%5Eq%29+=+%28root%28p%2C+a%29%29%5Eq\"$
\n" ); document.write( "This helps us because $\"5%5E3+=+125\"$ so $\"root%283%2C+125%29+=+5\"$ . So if we can find the cube root before we raise to the 8th power, it will be easier:
\n" ); document.write( " $\"%28root%283%2C+125%29%29%5E8%2Froot%283%2C+y%5E3%29\"$
\n" ); document.write( "The two cube roots simplify giving us:
\n" ); document.write( " $\"5%5E8%2Fy\"$
\n" ); document.write( "This may be an acceptable form for the answer. If not, then get out your calculator and figure out $\"5%5E8\"$ . \n" ); document.write( "

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