1. ## multiplying expressions

hi, this is my question:

2X^2 x 3X x 4XY=?

if not could you please explain where i am going wrong!

Thanks

2. Are all those terms multiplied together? As in, do you have

$2x^{2} \times 3x \times 4xy?$

3. Originally Posted by Ackbeet
Are all those terms multiplied together? As in, do you have

$2x^{2} \times 3x \times 4xy?$

yes thats correct

4. Ok. Here's the thing you need to keep track of: $x^{n}x^{m}=x^{n+m}.$ So, with exponents, multiplication of the bases turns into addition of the exponents. Make sense? Use that wherever you can here.

5. Originally Posted by Ackbeet
Ok. Here's the thing you need to keep track of: $x^{n}x^{m}=x^{n+m}.$ So, with exponents, multiplication of the bases turns into addition of the exponents. Make sense? Use that wherever you can here.
so would it = 24^2?

6. Originally Posted by andyboy179
so would it = 24^2?
No.
$2x^{2} \times 3x \times 4xy$
You multiply the numbers "separate" from the variables. You got that 2 x 3 x 4 = 24. What Ackbeet was getting at were the variables.

Note that you have to multiply $x^{2} \cdot x \cdot x$ (look at just the x's from the original expression). What is its product? Note that $x = x^1$

7. Originally Posted by eumyang
No.
$2x^{2} \times 3x \times 4xy$
You multiply the numbers "separate" from the variables. You got that 2 x 3 x 4 = 24. What Ackbeet was getting at were the variables.

Note that you have to multiply $x^{2} \cdot x \cdot x$ (look at just the x's from the original expression). What is its product? Note that $x = x^1$
but if there is nothing at the top you are saying that it has one there, so 2x1=2 and again 2x1=2 so i don't understand how its not 24^2!?

8. would it = 24x^4y?

9. Correct.