When exponents are equivalent, are bases equal?
E.g. x and y are not 0 or 1
If x^3a = y^3a, is x = y?
I'm happy to help.
First of all, I believe what you mean is
x^(3a) = y^(3a)
See:http://magoosh.com/gmat/2013/gmat-quant ... g-symbols/
The answer to your question is --- it depends. If the exponent (here, 3a) is an even number, then x and y could have equal absolute values but opposite signs.
x^2 = y^2
could mean that x = y or that x = -y. There's no way to tell from that starting equation which one is true.
If the exponent is an odd integer, then x = y --- that would be unambiguously clear.
Does this make sense?
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