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I am having a problem with the following question:

If $N = 3^P { } $ and $M=P-1$ Then in terms of M what is $ \frac{3}{N}=?$

Any suggestions on which properties to apply ?

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    Note that $\dfrac{3}{N}=\dfrac{3}{3^P}=\dfrac{1}{3^{P-1}}$. Or else more simply use $P=M+1$, so $3^P=3^{M+1}$.2012-07-10

1 Answers 1

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Simply substitute and use exponents' laws: $N=3^P\,,\,M=P-1\Longrightarrow \frac{3}{N}=\frac{3}{3^P}=\frac{1}{3^{P-1}}=\frac{1}{3^M}$