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

Question

2560 views around the world

You can reuse this answer
Creative Commons License

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#