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Mathematics 16 Online
OpenStudy (anonymous):

(x2y)3

OpenStudy (mathmale):

Please include the instructions that came with the math problem.

OpenStudy (anonymous):

no question. just products and factoring

OpenStudy (mathmale):

You're supposed to do something with the expression you typed in. What?

OpenStudy (anonymous):

(x^2y)^3

OpenStudy (mathmale):

That's a lot clearer, by the way, and I was going to ask you to write it in that manner. But what's your goal in posting this expression?

OpenStudy (anonymous):

Got you.

OpenStudy (mathmale):

Got me in what sense? Know what to do with this expression next?

OpenStudy (anonymous):

No not really don't kow what to start with

OpenStudy (mathmale):

\[(x^2y)^3\] was typed with Equation Editor. Rule of exponents: \[(x^a)^b=x^{ab}\]

OpenStudy (anonymous):

Thats where i got lost at

OpenStudy (mathmale):

Look at this rule: Inside parentheses we have x raised to the power a. We raise that whole expression to the power b. The result, according to this rule, is x^(ab). (Multiply together exponents a and b.)

OpenStudy (mathmale):

Good to write this and other rules down for later reference and review. You'll need them later.

OpenStudy (mathmale):

Here's another example of rules of exponents:\[x ^{a}x ^{b}=x ^{a+b}\]

OpenStudy (mathmale):

Don't just want to continue throwing rules at you, but we do need to know such rules in algebra. So: what could I do for you next?

OpenStudy (anonymous):

so the answer would be xy^6

OpenStudy (mathmale):

I'd prefer not to talk in terms of "answers." Mind showing me how you obtained that result?

OpenStudy (mathmale):

(x^2y)^3 = ? Which of the two rules I gave you applies here?

OpenStudy (anonymous):

the way you said multiply the exponents. did that.

OpenStudy (mathmale):

(x^2y)^3 looks like \[(x ^{a}y ^{b})^{c}\] Can you agree with that?

OpenStudy (anonymous):

thats more like it

OpenStudy (mathmale):

Yes, and \[(x ^{a}y ^{b})^{c}\] is equivalent to\[x ^{ac}y ^{bc}\]

OpenStudy (mathmale):

So, your (x^2y)^3 would equal what?

OpenStudy (anonymous):

well im half right. what i did was add the exponents x^5y^8

OpenStudy (mathmale):

(x^2y)^3 could be re-written as (x^2y^1)^3, or \[(x^2y^1)^3\]

OpenStudy (mathmale):

First, please multiply that power " 2 " by 3. Next, mult. that power 1 by 3. What do you get as a result?

OpenStudy (mathmale):

\[x ^{?}y^?\]

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