Express each number as the product of its prime factors. Use repeated division method.

$117$

If the following expression can be written as $9y^m{z}^n$, find the value of $(m-n)$.

$9\times \mathrm{y}\times \mathrm{y}\times \mathrm{y}\times \mathrm{y}\times \mathrm{z}\times \mathrm{z}\times \mathrm{z}$

If the exponential form of $\mathrm{a}\times \mathrm{a}\times \mathrm{a}\times \mathrm{b}\times \mathrm{b}\times \mathrm{b}\times \mathrm{b}\times \mathrm{c}\times \mathrm{c}\times \mathrm{c}={\mathrm{a}}^{\mathrm{x}}{\mathrm{b}}^{\mathrm{y}}{\mathrm{c}}^{\mathrm{z}}$, then find the value of $x+y+z$. 

Write the following in exponential form.

$m\mathit{\times }m\mathit{\times }m\mathit{\times }m\mathit{\times }m$