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#