Question

How do you simplify this?
(2x^2 * x)^3 I used * for multiplication

Answer 1

Basically do the FOIL method twice

because you have

(2x^2 * x)(2x^2 * x)(2x^2 * x)

You just gotta multiply it out

Answer 2

how do you multiply 2x^2 by x?

Answer 3

\(2x^2 \cdot x=2x^3\).
Now calculate \((2x^3)^3\)

@johnweldon1993: I think you made a mistake about the FOIL method.

Answer 4

@ZeHanz thank you for pointing that out....FOIL wont work here sorry about that @stabar

Answer 5

@stabar : remember: powers are just shorthand for repeated multiplication:

\(a \cdot a=a^2\)

Answer 6

So \(2x^2 \cdot x=2 \cdot x\cdot x\cdot x=2x^3\)

Answer 7

right I get that...just not how I multipl that by x when i dont have a number for x

Answer 8

You do not have to know how much x is.
You cannot work out how much x*x is.
You only can shorten it a little by writing it as x².

Answer 9

ok so then 2x^2 * x would be 2x^3

Answer 10

Right...remember you can multiply any numbers together...remember that x....can also be written as 1x^1

And when multiplying eponents...you add them so yes 2x² * x WOULD be 2x^3

Answer 11

so now all I have to do is work this out right?:
(2x^3)(2x^3)(2x^3)

Answer 12

Now the last step: \((2x^3)^3=2x^3 \cdot 2x^3 \cdot 2x^3=2 \cdot 2 \cdot 2 \cdot x^3 \cdot x^3 \cdot x^3=...\)

Answer 13

You can take the 2's apart and also the factors x³.

Answer 14

So I got 8x^9 is that right?

Answer 15

Yes! You got it!

Answer 16

Thank you

Answer 17

YW!