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

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Answer 1 · 2016-04-01T16:02:05

$12^24$

Another way of writing $1/144^2" "$ is $" "144^(-2)$

So the expression is now $144^(14)xx144^(-2)$

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

$" "144^(14-2)$

This is the same as:

$" "144^(12)$

But $144 = 12^2$ so we have

$" "(12^2)^12$

This is the same as

$" "12^(2xx12)" "=" "12^24$

How do you simplify 144^14/144^2144^14/144^2?