document.write( "Question 393681: 1)
\n" ); document.write( "3√30x^15/120x^17y^-1\r
\n" ); document.write( "\n" ); document.write( "It is a cube root. \r
\n" ); document.write( "\n" ); document.write( "2)3√4√10=100^2x\r
\n" ); document.write( "\n" ); document.write( "There's 10 inside of cube root and 4th root.\r
\n" ); document.write( "\n" ); document.write( "3)9√(2xy^4)^-12/(8x^12y)^2\r
\n" ); document.write( "\n" ); document.write( "It is a 9th root.\r
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\n" ); document.write( "\n" ); document.write( "Thank you so much!!!!!! I have a test on Friday and my teacher really can't teach :(
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Algebra.Com's Answer #279363 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1)3√30x^15/120x^17y^-1
\n" ); document.write( "It is a cube root.
\n" ); document.write( "---
\n" ); document.write( "[cbrt(30x^15)]/[120x^17y^-1)]
\n" ); document.write( "----
\n" ); document.write( "[x^5*y*cbrt(30)]/[120x^17]
\n" ); document.write( "----
\n" ); document.write( "[y*cbrt(30)]/[24x^12]
\n" ); document.write( "==========================
\n" ); document.write( "
\n" ); document.write( "2)3√4√10=100^2x
\n" ); document.write( "There's 10 inside of cube root and 4th root.
\n" ); document.write( "---
\n" ); document.write( "10^(1/12) = [10^2]^(2x)
\n" ); document.write( "---
\n" ); document.write( "10^(1/12) = 10^(4x)
\n" ); document.write( "---
\n" ); document.write( "4x = 1/12
\n" ); document.write( "x = 1/48
\n" ); document.write( "==================
\n" ); document.write( "3)9√(2xy^4)^-12/(8x^12y)^2
\n" ); document.write( "It is a 9th root.
\n" ); document.write( "---
\n" ); document.write( "(2xy^4)^(-12/9) / (64x^24y^2)
\n" ); document.write( "---
\n" ); document.write( "(2xy^4)^(-4/3) / (2^6*x^24y^2)
\n" ); document.write( "[2^(-4/3)*x^(-4/3)*y^(-16/3)]/[2^6*x^24*y^2]
\n" ); document.write( "---
\n" ); document.write( "= 1/[2^(22/3)*x^23*y^(22/3)
\n" ); document.write( "===
\n" ); document.write( "There are a number of forms the next step could take.
\n" ); document.write( "I'll leave it to you. Sometimes the answer book will
\n" ); document.write( "show one form and you have an equivalent other form.
\n" ); document.write( "Try to determine whether the two forms are equivalent.
\n" ); document.write( "If they are you have found the solution.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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