# How do you simplify 144^14/144^2?

Apr 1, 2016

${12}^{24}$

#### Explanation:

Another way of writing $\frac{1}{144} ^ 2 \text{ }$ is $\text{ } {144}^{- 2}$

So the expression is now ${144}^{14} \times {144}^{- 2}$

As both numbers are 144 you are allowed to do this:

$\text{ } {144}^{14 - 2}$

This is the same as:

$\text{ } {144}^{12}$

But $144 = {12}^{2}$ so we have

$\text{ } {\left({12}^{2}\right)}^{12}$

This is the same as

$\text{ "12^(2xx12)" "=" } {12}^{24}$