144^14/144^2

1. 144^16
2. 144^12
3. 144^28
4. 144^14/2
so i dont get this one!!! Plz explain!!!

remember that x^n/x^m = x^(m-n)

so, 144^14 / 144^2 = 144^(14-2) = 144^12

this is because
144^14 = 144*144*144*144*144*144*144*144*144*144*144*144*144*144
144^12 = 144*144
when you divide, two of the factors cancel, leaving just the other 12 in the numerator

the numerator and denominator have the same base (144)

you can reduce the fraction by subtracting the exponents (14 and 2)

Hmm, makes sense(for once..XD) thank you both, uhh also could u also check this other question.. i tried i just need to know where i went wrong... if i did go wrong with whatever....? 11. 4^4*4*10..... i got 4^14... but IDK, the answer choices are...4^14, 4^6,4^40.4^10.... Thank you!!!!

4^4 * 4^10 is indeed 4^14

ok thank you.. i knew i was right!!! Jk uhh, just to be clear. when you multiply you add both numbers on top and when you divided you subtract?

also on this question bc u subtract the tops number when you divided shouldn't 3^4/3^4 be 0 not 1... bc i got that on math way.com?

3^4/3^4 = 3^0 = 1

remember that that's just 81/81 = 1
anything to the zero power is 1

To solve the expression (144^14) divided by (144^2), you can simplify by subtracting the exponents:

144^14 / 144^2 = 144^(14 - 2) = 144^12

So, the answer is option 2: 144^12.

oh yeah right, thank you oobleck