Answer:-1/36
Explanation:
[72÷(100^(1÷2)-4^(2))]/[27^(1÷3)]=
square root of 100 is 10 and 3 cubed is 27 then we pull out two's (common terms) to not get lost in the ocean of numbers
[36×2÷(5×2-8×2)]/[3^(3÷3)]=
next we put 36 under the members inside the bracket, that is 5 and 8 since the two's "cancelled"
[5/36-8/36]÷[3/1]=
Now we change division sign since they are synonyms and easier to "flip" the denominator [5/36-2/9]×[1/3]=
5/108-2/27=
Getting least common denominator for a finishing touch (5-8)/108=-3/108=-1/36