document.write( "Question 1183966: I need help with a problem or expression, which ever it may be.
\n" ); document.write( "What is
\n" ); document.write( "(24x3rddegree y6thdegree)-1/3\r
\n" ); document.write( "\n" ); document.write( "Please explain this to me, and how the degrees cancel out and so on. Im a bit lost on this issues, please and thank you, so much!
\n" ); document.write( "

Algebra.Com's Answer #814493 by greenestamps(13208)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "In typed text, it is customary to use \"^\" (shift-6) to represent exponentiation.

\n" ); document.write( "In order for your question to make sense, I believe the expression you are working with is ((x^3)(y^6))^(-(1/3)):

\n" ); document.write( "\"%28%28x%5E3%29%28y%5E6%29%29%5E%28-%281%2F3%29%29\"

\n" ); document.write( "Simplifying the expression is a matter of applying basic rules of exponents:

\n" ); document.write( "(1) \"%28x%5Ea%29%5Eb=x%5Eab\" (a power raised to a power: multiply the powers)

\n" ); document.write( "(2) \"%28x%5E%28-a%29%29=1%2F%28x%5Ea%29\" (negative power: reciprocal)

\n" ); document.write( "For your expression...

\n" ); document.write( "

\n" ); document.write( "And so then (with the negative exponent)

\n" ); document.write( "\"%28%28x%5E3%29%28y%5E6%29%29%5E%28%28-1%2F3%29%29=1%2F%28xy%5E2%29\"

\n" ); document.write( "
\n" ); document.write( "
\n" );