order of operations PEMDAS parenthaseees exponents multiplication or division whichever comes first addition or subtraction whichever comes first
parenthases first inner to outer left to right treat a/b as (a)/(b) so simplify the fraction top and bottom as much as possible the parenthaseese we have to simplify are (20-5^2), (16+2^2), (3*2^2)
(20-5^2) exponents first 5^2=25 now we have (20-25) subtract 20-25=-5 other parenthasees
16+2^2 exponent, 2^2=4 16+4=20
next 3*2^2 exponent 2^2=4 3*4=12
so the equaiton we have now is [tex] \frac{(-5)(20)}{-2^{3}+(12)} [/tex]
exponents -2^3 =-1 times 2^3 exponent first 2^3=8 -1 times 8=-8
now we hav [tex] \frac{(-5)(20)}{-8+(12)} [/tex] treat the numberator and denomenator as if they are in parenthasees so try to simplify them next (-5)(20)=-100 -8+12=4
now we have [tex] \frac{-100}{4} [/tex] division -100/4=-25
