document.write( "Question 345346: How do I solve 64x^3-1 \n" ); document.write( "
Algebra.Com's Answer #246977 by haileytucki(390)\"\" \"About 
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64x^(3)-1=0\r
\n" ); document.write( "\n" ); document.write( "Since -1 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 1 to both sides.
\n" ); document.write( "64x^(3)=1\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 64.
\n" ); document.write( "(64x^(3))/(64)=(1)/(64)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "x^(3)=(1)/(64)\r
\n" ); document.write( "\n" ); document.write( "Take the cube root of both sides of the equation to eliminate the exponent on the left-hand side.
\n" ); document.write( "x=~3:((1)/(64))\r
\n" ); document.write( "\n" ); document.write( "Split the fraction inside the radical into a separate radical expression in the numerator and the denominator. A fraction of roots is equivalent to a root of the fraction.
\n" ); document.write( "x=(1)/(~3:(64))\r
\n" ); document.write( "\n" ); document.write( "Pull all perfect cube roots out from under the radical. In this case, remove the 4 because it is a perfect cube.
\n" ); document.write( "x=(1)/(4) \n" ); document.write( "
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