Question

http://prntscr.com/arkn50

Answer 1

Breaking it up into parts is really helpful when simplifying a fraction with multiple variables/numbers. Quite simply, group variables/numbers up and simplify those individually. However, you can only do this if all of the terms on the numerator (top) and denominator (bottom) are multiplied (if it was 3xy+4 for example, you can't split it up because of the addition sign)
6/3 simplifies to 2/1
(c^-2)/(c^4) hmm, what does this simplify to?
Well, as a rule of thumb, when you are dividing variables with the same exponent, you subtract them.
c^(-2)/c^(4) is the same thing as c^(-2-4) which is c^-6
How do you simplify d^7/d^4? Same as with the c variable. When you have to divide variables with the same exponent, you subtract them!
d^7/d^4=d^(7-4)=d^3
so now you have everything simplified:
(2)*(c^-7)*(d^3)
However, you don't want to leave an exponent negative!
Remember, c^-7=1/c^7
so now you have (2)*(1/c^7)*(d^3) which, written out is
\[2d^4/c^7\]
you're right!

Answer 2

2d^4/c^6