document.write( "Question 660385: Please help me solve this problem: Find the values of a and c so that the expressions a^3 and c^6 have a value of 729. \n" ); document.write( "
Algebra.Com's Answer #411160 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
If you are allowed to use a calculator
\n" ); document.write( "\"a%5E3+=+729\"
\n" ); document.write( "\"a+=+%28729%29%5E%281%2F3%29\"
\n" ); document.write( "\"a+=+9\"\r
\n" ); document.write( "\n" ); document.write( "\"c%5E6+=+a%5E3\"
\n" ); document.write( "\"c%5E2+=+a\"
\n" ); document.write( "\"c%5E2+=+9\"
\n" ); document.write( "\"c+=+sqrt%289%29\"
\n" ); document.write( "\"c+=+3\" or \"c+=+-3\"\r
\n" ); document.write( "\n" ); document.write( "If you are not allowed to use a calculator, then start by factoring 729 into prime factors\r
\n" ); document.write( "\n" ); document.write( "\"729+=+3+%2A+243\"
\n" ); document.write( "\"729+=+3+%2A+3+%2A+81\" etc etc
\n" ); document.write( "\"729+=+3+%2A+3+%2A+3+%2A+3+%2A+3+%2A+3\"
\n" ); document.write( "And use that info to solve the given questions
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