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Mathematics 19 Online
OpenStudy (atlchic):

Simplify monomials...

OpenStudy (atlchic):

\[4^{12}\div 4^{2}\]

hero (hero):

\[\frac{4^{12}}{4^2}\]

OpenStudy (atlchic):

yes

OpenStudy (atlchic):

show work plz

hero (hero):

Hint: \[4^{12} = 4^2 4^{10}\]

OpenStudy (atlchic):

the aanswer is wat

OpenStudy (gabylovesyou):

I am going to try! do u have mmmm choices?

OpenStudy (atlchic):

i say it's 1,048,576

OpenStudy (gabylovesyou):

Well these are exponents so: 4^12 = 4x4x4x4x4x4x4x4x4x4x4x4

OpenStudy (gabylovesyou):

What does that equal??

hero (hero):

Okay, here are the steps: 1. Rewrite 4^12 using the multiplication property of exponents \[\frac{4^{12}}{4^2} = \frac{4^24^{10}}{4^2}\] 2. Cancel factors of 1: Since 4^2/4^2 = 1cancel that and you'll end up with \[4^{10}\]

hero (hero):

Obviously when you use the multiplication property, you want to split 4^12 so that you cancel the denominator. Since 4^2 is in the denominator, rewrite 4^12 such that you have 4^2 in the numerator, then cancel out 4^2/4^2 If you can't understand that hire a personal tutor.

OpenStudy (atlchic):

so the answer is wat

hero (hero):

Oh gosh

OpenStudy (gabylovesyou):

The point is your right

hero (hero):

atlchic, you have no clue

OpenStudy (gabylovesyou):

u have to simplify both exponents and then divide them

OpenStudy (gabylovesyou):

right Hero? i dont want to be wrong here

hero (hero):

atlchic needs someone to hand-walk her through this. I don't have time to do it.

OpenStudy (gabylovesyou):

ill do it but mm let me inbox u the answer so that i make sure im right

OpenStudy (atlchic):

k

hero (hero):

Funny thing is, I posted the solution already

hero (hero):

\[4^{10}= 1,048, 576\]

OpenStudy (gabylovesyou):

ohh but it says simplify. U have to leave it as an exponent??

OpenStudy (gabylovesyou):

yes im right lol

hero (hero):

But usually it is not necessary to write it out like that. Just keep it as exponents

OpenStudy (atlchic):

i got that

hero (hero):

If the problem is given to you in exponents, you want to keep your answer in the same form.

hero (hero):

In general, you want to put your answer in the same form as the question was given to you.

OpenStudy (atlchic):

gotcha

OpenStudy (gabylovesyou):

please delete ur comment u made of me atlchic

OpenStudy (atlchic):

i wi

hero (hero):

So if you were given a fraction, your solution should also be a fraction (and not decimals) for example.

hero (hero):

That's basically a general rule for all math

OpenStudy (atlchic):

i other question

hero (hero):

atlchic, I'm not fully convinced you understand this current question.

OpenStudy (gabylovesyou):

Did u understand atlchic??

OpenStudy (atlchic):

\[p ^{7} n ^{3}/ p ^{4} n ^{2}\]

OpenStudy (gabylovesyou):

sorry i can't help u with that one :S I don't know but did u get the first question??

OpenStudy (atlchic):

yes

OpenStudy (gabylovesyou):

ok then sorry i dont know the second one

OpenStudy (atlchic):

hero neeed 2 cum bac here

hero (hero):

If you want to post fractions, then in equation editor, typing frac{a}{b} will produce: \[\frac{a}{b}\]

hero (hero):

Gabe, now I'm convinced that you used a calculator to do the first question. You don't seem to know laws of exponents.

OpenStudy (atlchic):

look at my new problem

hero (hero):

I looked at it. The same rules apply. Use laws of exponents to cancel factors of one

OpenStudy (atlchic):

show me again plz

hero (hero):

The only way it is right is when you have canceled both variables in the the denominator.

OpenStudy (atlchic):

im confused again

OpenStudy (gabylovesyou):

Hero, i learned about this. It says if u don't remember the rules just simplify and i got it right so...

OpenStudy (atlchic):

hero im lost

hero (hero):

I'm sorry to hear that

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