can anyone help me checking my answers in multiplying algebraic expressions?...

Question

anonymous · Answer

$$1/2(2x^3y^4z^5)(3x^2y^6)$$

anonymous · Answer

what is it?

anonymous · Answer

multiply the given algebraic expression

anonymous · Answer

Remember when you multiply powers of the same base you add their exponents..

$$(x^a)(x^b) = x^{(a+b)}$$

anonymous · Answer

So just re-arrange your product so that you're multiplying your bases to eachother, then add their exponents.

amistre64 · Answer

what answer didja get? so we can chk it :)

anonymous · Answer

i know my ans. is wrong that's why i need your help..

anonymous · Answer

Ok well did what I said make sense?

anonymous · Answer

Remember that in a product you can always re-order your factors to make it easier.

anonymous · Answer

is it
(1/2)(2)(3)x^5y^10z^5=3x^5y^10z^5

anonymous · Answer

So lets start with that:
$$\frac{1}{2}(2x^3y^4z^5)(3x^2y^6)  $$First we'll get all our constant numbers out in front..$$= (\frac{1}{2}\cdot 2\cdot3)(x^3y^4z^5)(x^2y^6)$$
That should simplify nicely.. Now lets have you simplify the constant coefficients and also reorder each of the variables such that they are adjacent to the other power of the same base.

anonymous · Answer

so, am i going to use vertical method in multiplying $$(x^3y^4z^5)(x^2y^6) $$?

anonymous · Answer

No, I'd suggest just moving around the factors like we did for the numbers:
$$(x^3y^4z^5)(x^2y^6) = (x^3x^2)(y^4y^6)z^5$$

Then just remember that when you multiply powers of the same base you add their exponents:
$$x^ax^b = x^{a+b}$$

anonymous · Answer

Got it?

anonymous · Answer

I'm heading to bed. I hope that helps. Otherwise we can work more on it tomorrow maybe.

anonymous · Answer

so it will become like this  $$=(x^5)(y^10)z^5$$
                                       $$=x^5y^10z^5$$

anonymous · Answer

that is y raise to 10

anonymous · Answer

so the final ans. is 3x^5y^10z^5????

radar · Answer

Pull your answers together in a final answer.  The numerical values first then the variables like: (1/2)(3)(2)=3    for a final answer of: $$3x ^{5}y ^{10}z ^{5}$$

anonymous · Answer

That's right.. Note that when writing complicated exponents (more than 1 character) you have to use the {} to surround the value:

y^{10} = $y^{10}$