Mathematics
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OpenStudy (anonymous):
Which expression is equivalent to 2^4 ⋅ 2^−7?
1 over 2 to the power of 11
1 over 2 to the power of 3
2^3
2^11
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OpenStudy (anonymous):
@Frozen15
OpenStudy (anonymous):
@xapproachesinfinity
OpenStudy (frozen15):
what were you thinking as an answer or guess?
OpenStudy (xapproachesinfinity):
i figured that's what you meant
OpenStudy (anonymous):
i dont know how to do 2 to the power of negative seven
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OpenStudy (xapproachesinfinity):
\(2^4.2^{-7}=2^{4-7}\)
OpenStudy (xapproachesinfinity):
the property been used is \(a^na^m=a^{a+m}\)
OpenStudy (xapproachesinfinity):
simplify that
OpenStudy (anonymous):
i understand that
OpenStudy (anonymous):
but how do i do it to the power of a negative
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OpenStudy (xapproachesinfinity):
ok tell me what diid you get for that first
OpenStudy (anonymous):
2 to the power of 4 ?
OpenStudy (xapproachesinfinity):
no how come?
4-7=-3
so it will be 2^-3
OpenStudy (anonymous):
negative seven
OpenStudy (xapproachesinfinity):
you forgot how to add numbers
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OpenStudy (anonymous):
4 - (-7) equals -3
OpenStudy (anonymous):
i dont understand how
OpenStudy (xapproachesinfinity):
see what is says there 2 raised to 4-7
that means do the addition of 4-7 to get -3
so 2^-3
OpenStudy (anonymous):
4 - (-7) equals 4 + 7
OpenStudy (anonymous):
so 11
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OpenStudy (xapproachesinfinity):
now you got \(2^{-3}\)
you can use this rule \(a^{-n}=1/a^n\)
OpenStudy (anonymous):
it cant be negative three
OpenStudy (anonymous):
how do u have a smart score of 94 if you don-t know this
OpenStudy (xapproachesinfinity):
no where did you get that other negative in the middle
don 't just write things up from your head
we are given 4-7 which equals -3
OpenStudy (xapproachesinfinity):
because i'm dumb, if i know i would be ignorant
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OpenStudy (anonymous):
i said 2 to the power of negative seven
OpenStudy (xapproachesinfinity):
yes and that gives 2^4 times 2^-7 equals 2^ (4-7)
OpenStudy (xapproachesinfinity):
the rule is described above
OpenStudy (anonymous):
i don't have that as an option
OpenStudy (anonymous):
i am doing multiple choice
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OpenStudy (anonymous):
it has to be 11
OpenStudy (xapproachesinfinity):
we are getting there
OpenStudy (anonymous):
idk how
OpenStudy (xapproachesinfinity):
i was trying to explain but you accused me of not been capalble of my smart score
OpenStudy (anonymous):
how did u get negative three from 4 and negative seven
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OpenStudy (xapproachesinfinity):
first we obtain 2^-3 from 2^(4-7)
now 2^-3 =1/2^3
OpenStudy (anonymous):
you lost you marbles
OpenStudy (xapproachesinfinity):
you owe me 4 dollar and i owe you 7
the result is that i still owe you 3
OpenStudy (anonymous):
right now your head is a piping jalapeno
OpenStudy (xapproachesinfinity):
that explain why 4-7=-3
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OpenStudy (anonymous):
negative 7
OpenStudy (anonymous):
4 minus negative seven
OpenStudy (anonymous):
4 - (-7)
OpenStudy (anonymous):
what don't u understand by negative seven
OpenStudy (anonymous):
is it in your vocabulary
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OpenStudy (anonymous):
cmon