Question

if a,b,c are positive and a^-2b^2c^2 > a^-3b^3c^2 which of the following must be true?
1. a>b
2. a>c
3. b>c
I'd really appreciate the help :')

Answer 1

\[a^{-2}b^2c^2 > a^{-3}b^3c^2 \]\[\frac{b^2c^2}{a^2} > \frac{b^3c^2}{a^3} \]Multiply a^3 to both sides, then divide both sides by b^2c^2 to get your answer.

Answer 2

So you get b^3 c^2?

Answer 3

How do I know which one is greater ? 1,2, or 3 though?

Answer 4

Hello ):

Answer 5

I'm sorry that I was away.
When you multiply a^3 to both sides of the question, what do you get?

Answer 6

a^3b^2C^2/a^2 > b^3c^2

Answer 7

its fine!

Answer 8

For the left side, can you simplify the expression?

Answer 9

Yeah and then you get a^3b^2c^2/a^2 = 1/b^2c^2 and then you can cancel the equation out

Answer 10

That doesn't look right to me ...
\[a^{-2}b^2c^2 > a^{-3}b^3c^2\]\[\frac{b^2c^2}{a^2} > \frac{b^3c^2}{a^3}\]Multiply both sides by a^3\[a^3 \times \frac{b^2c^2}{a^2} > a^3 \times\frac{b^3c^2}{a^3}\]Cancel the common factor on both sides, what do you get?

Answer 11

Omg can you just tell me the answer I hate math!
but you a^3 X b^2c^2/a^2 = b^3C^2

Answer 12

I can't, I'm sorry!
\[a^3 \times \frac{b^2c^2}{a^2} > \cancel{a^3} \times\frac{b^3c^2}{\cancel{a^3}}\]\[a^3 \times \frac{b^2c^2}{a^2} > b^3c^2\]That's what you got. For the left, you can do something similar.
\[a(a^2) \times \frac{b^2c^2}{a^2} > b^3c^2\] Can you try again? Cancel the common factor on the left.

Answer 13

This would be easier if I could type like that but okay
a^3b^2c^2 >b^3c^2

Answer 14

You can use the equation button to type that :D
Still... it's not right :|
\[a(a^2) \times \frac{b^2c^2}{a^2} > \cancel{a^3} \times\frac{b^3c^2}{\cancel{a^3}}\]\[a\cancel{(a^2)} \times \frac{b^2c^2}{\cancel{a^2}} > \cancel{a^3} \times\frac{b^3c^2}{\cancel{a^3}}\]What's left?

Answer 15

Omg lol im so dumb
\[ab^2c^2 > b^3c^2 ? \]

Answer 16

It looks right now :)
Now, divide both side by c^2. What do you get?

Answer 17

\[ab^2> b^3\]

Answer 18

Yup!
Now, divide both sides by b^2, what do you get?

Answer 19

a>b ??

Answer 20

Yup :)

Answer 21

You did it !! :)

Answer 22

Omg thankyou so much!! :')

Answer 23

Welcome :D

Answer 24

you're great aahh thanks <3333