SOLUTION: 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.

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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.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
If you are allowed to use a calculator
a%5E3+=+729
a+=+%28729%29%5E%281%2F3%29
a+=+9
c%5E6+=+a%5E3
c%5E2+=+a
c%5E2+=+9
c+=+sqrt%289%29
c+=+3 or c+=+-3
If you are not allowed to use a calculator, then start by factoring 729 into prime factors
729+=+3+%2A+243
729+=+3+%2A+3+%2A+81 etc etc
729+=+3+%2A+3+%2A+3+%2A+3+%2A+3+%2A+3
And use that info to solve the given questions