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Mathematics 18 Online
OpenStudy (misssmartiez):

Answer Checking?

OpenStudy (misssmartiez):

OpenStudy (misssmartiez):

@TheSmartOne

OpenStudy (misssmartiez):

@DanJS

OpenStudy (misssmartiez):

@Loser66

OpenStudy (danjs):

what do you not understand about it

OpenStudy (misssmartiez):

Can you check if it is right?

OpenStudy (misssmartiez):

The ones I circled is what I picked, the green question mark is what I think can be possible. red X is not the answer I ruled out.

OpenStudy (danjs):

i see, there are just a couple properties you shold remember...

OpenStudy (danjs):

for fractions like that, if you move from top to bottom or bottom to top, the exponent sign will change(+/-) so for question 3...

OpenStudy (misssmartiez):

Ok, I am writing this down, I have to go brb real quick, I will come back

OpenStudy (danjs):

ok, here look at the second section, exponent properties in this thing

OpenStudy (danjs):

The first question you have wants to know which ones multiply the exponents, like in property \[(a^n)^m\]

OpenStudy (danjs):

an exponent raised to another exponent like that, you multiply them \[\large (a^m)^n=a^{m*n}\]

OpenStudy (danjs):

you add the exponents when you are multiplying together the same bases like this property \[\large a^m * a^n = a^{m+n}\] and recall if you change side of fraction, the sign changes \[\large \frac{ 1 }{ a^m } = \frac{ a^{-m} }{ 1 }\]

OpenStudy (danjs):

those 3 things are all ya have to remember here... so for the first question first answer,, you have 2^9/2^7 , apply the fraction rule furst to move the 2^7 up top... then you have \[\large \frac{ 2^9 }{ 2^7 } = 2^9 * 2^{-7}\]

OpenStudy (danjs):

then the second rule shows that for those multiplied bases, you have to add the exponents, so in this one you do not multiply the exponents... no

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