Hi peeps! I have some minor calculus problem, well confusion is the problem.(adsbygoogle = window.adsbygoogle || []).push({});

I was playing about with some numbers while doing some differential calc problems, when i started to explore a little further one expression.

[tex]

y=f(x)=\sqrt[m]{\frac{1}{x^{n}}}=x^{-\frac{n}{m}}

[/tex] ----- (1)

Of course i thought about rational numbers and primes, and that a rational number is any number which can be expressed as the quotient of two integers.

So assuming:

[tex]n \in Z^+[/tex]

[tex]m \in Z^+[/tex]

I then thought about what if the exponent was a prime, so

[tex]\frac{p}{m}[/tex] where [tex]p=prime[/tex]

Then for:

[tex]1 < m < p[/tex]

The exponent would allways be irrational.

Upon seeing the inequality expresison i wrote down i wondered if there was a link between it and the triangle inequality expression. Is this the case?

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# Handsome calculus n00b seeks reassuring relationship with numbers.

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