Question

Which of the following is the simplest form of the expression above?
a^3b^3c/

a^-3b^-3c^-1

Answer 1

So you have this?

\[(a ^{3}b ^{3}c)/(a ^{-3}b ^{-3}c ^{-1})\]

Answer 2

yes

Answer 3

Ok, you can divide variable by variable. So, for example, a^3 divided by a^-3 is a^(3-(-3)) or a^6

Answer 4

So then if you divide b^3 by b^-3, what do you get?

Answer 5

b^6

Answer 6

Yes, and if you divide c^1 by c^-1?

Answer 7

c^1

Answer 8

1 - (-1) = ?

Answer 9

1

Answer 10

When you subtract a negative, it is the same as adding a positive number of the same magnitude, so 1-(-1) = 1 + 1

Answer 11

2

Answer 12

a^6b^6c^2

Answer 13

So, then c^1 divided by c^-1 = c^2, yes :)

Answer 14

So then you can multiply those all together, and you have a^6 b^6 c^2

Answer 15

Which hopefully is one of your choices!

Answer 16

yes that was correct thx now i understand

Answer 17

Good :D Have a good morning!