Mathematics
21 Online
OpenStudy (anonymous):
What is the missing exponent?
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OpenStudy (anonymous):
OpenStudy (anonymous):
i need help please
OpenStudy (anonymous):
@camzzzie
OpenStudy (alexandervonhumboldt2):
\[(a^b)^c=a^{bc}\]
\[\frac{ a^b }{ a^c }=a^{b-c}\]
use thse properties
OpenStudy (anonymous):
i just need the answer i have 3 mins left
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OpenStudy (alexandervonhumboldt2):
we can't give out answers.
OpenStudy (anonymous):
please i need to pass this
OpenStudy (alexandervonhumboldt2):
first lets count (8^-7)^2=8^{-7*2}=8^-14
now can you simplify \[\frac{ 8^{-5} }{ 8^{-14} }\] using the rule i gave above?
OpenStudy (anonymous):
i dont know how to do this
OpenStudy (alexandervonhumboldt2):
use rule \[\frac{ a^b }{ a^c }=a^{b-c}\]
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OpenStudy (anonymous):
what does that mean
OpenStudy (alexandervonhumboldt2):
this is the rule
OpenStudy (alexandervonhumboldt2):
in your case a=8, b=-5 and c=-14
OpenStudy (alexandervonhumboldt2):
substitute this and solve
OpenStudy (anonymous):
what do u mean by substitute
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OpenStudy (alexandervonhumboldt2):
susbtiteu a, b, and c into the rule i gave and solve
OpenStudy (anonymous):
i dont know how to do that
OpenStudy (alexandervonhumboldt2):
\[\frac{ 8^{-5} }{ 8^{-14} }=8^{-5+14}=?????????\]
OpenStudy (anonymous):
o ok sorry
OpenStudy (alexandervonhumboldt2):
simplify what i wrote
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OpenStudy (anonymous):
i got 14 1/32768
OpenStudy (alexandervonhumboldt2):
no
OpenStudy (alexandervonhumboldt2):
can you add -5+14=????
OpenStudy (alexandervonhumboldt2):
calculaors will not help you at all
OpenStudy (anonymous):
9
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OpenStudy (alexandervonhumboldt2):
yes
OpenStudy (alexandervonhumboldt2):
thus your exponents is 9
\[8^9\]
OpenStudy (anonymous):
so the answer is 8 9
OpenStudy (alexandervonhumboldt2):
no , it is 9
OpenStudy (anonymous):
thank u i will tell u if u are right
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OpenStudy (anonymous):
yah u where right thankkkkkkk u so much @AlexandervonHumboldt2