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**greenday1209** I need help checking the following properties (whether they're true or false):

$\displaystyle x^{\underline{m.n}} = \prod_{k = 0}^{m-1} (x - kn)^\underline{n}$

$\displaystyle x^{\underline{m.n}} = \prod_{k = 0}^{n-1} (x - km)^\underline{n}$

$\displaystyle x^{\underline{m.n}} = \prod_{k = 0}^{n-1} (x - km)^\underline{m}$

where $\displaystyle x^{\underline{m.n}}$ is a decreasing factorial exponential, i.e.:

$\displaystyle x^{\underline{m.n}} = \prod_{k = 0}^{m.n - 1} (x-k)$

Thanks in advance