SOLUTION: Determine if the following conjecture is true. If not, give a counterexample. The cubic power of an odd integer is odd. Options: true false; 73 = 342 false; 93 = 728

Algebra ->  Equations -> SOLUTION: Determine if the following conjecture is true. If not, give a counterexample. The cubic power of an odd integer is odd. Options: true false; 73 = 342 false; 93 = 728      Log On


   

Question 911855: Determine if the following conjecture is true. If not, give a counterexample.
The cubic power of an odd integer is odd.
Options:
true
false; 73 = 342
false; 93 = 728
OR
false; 53 = 126

Found 2 solutions by richard1234, Alan3354:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Statement is true for all odd integers.

7^3 = 343, 9^3 = 729, 5^3 = 125 so the rest of those choices are all bogus.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Determine if the following conjecture is true. If not, give a counterexample.
The cubic power of an odd integer is odd.
Options:
true
false; 73 = 342
73 <> 342
false; 93 = 728
93 <> 728
OR
false; 53 = 126
53 <> 126
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Do you mean to enter exponents?
Use ^ (Shift 6) for exponents.
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7^3 still not equal to 342, it's 343
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An odd integer to any integral power is and odd number.
(2n+1)^x = an odd number (n & x are integers)