Mathematics
11 Online
OpenStudy (brucebaner):
What is the value of the expression?
4^3 • 4^−5
A.
4^−15
B.
4^−2
C.
4^2
D.
4^8
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OpenStudy (brucebaner):
@Michele_Laino
OpenStudy (alexandervonhumboldt2):
4^(3-5)
OpenStudy (alexandervonhumboldt2):
4^-2
OpenStudy (alexandervonhumboldt2):
a^b*a^c=a(b+c)
(a^b)^c=a^bc
OpenStudy (michele_laino):
\[4^{3}*4^{-5}=4^{(3-5)}=4^{-2}=\frac{ 1 }{ 4^{2} }=\frac{ 1 }{ 16 }\]
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OpenStudy (alexandervonhumboldt2):
4^-2
OpenStudy (brucebaner):
so what letter is it
OpenStudy (alexandervonhumboldt2):
B
OpenStudy (michele_laino):
please, @brucebaner are all my step clear for you?
OpenStudy (brucebaner):
what about you @saifoo.khan
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OpenStudy (saifoo.khan):
I'd go with @Michele_Laino .
OpenStudy (brucebaner):
so its B
OpenStudy (michele_laino):
sorry please, I want to know if my reasoning is clear for you!
OpenStudy (brucebaner):
yes
OpenStudy (michele_laino):
ok! then what properties of power I applied before?
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OpenStudy (brucebaner):
yes i your reasoning is clear for me
OpenStudy (michele_laino):
ok! please solve this little test and after that I will give you your answer.
evaluate this, please:
\[\frac{ 5^{-2} }{ 5^{-3} }\]
OpenStudy (brucebaner):
5^-5
OpenStudy (michele_laino):
please, retry!
OpenStudy (michele_laino):
please note that:
\[\frac{ 1 }{ 2^{-9}}=2^{9}\]
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OpenStudy (michele_laino):
that's right!
your answer is B.
OpenStudy (brucebaner):
thx
OpenStudy (michele_laino):
@brucebaner sorry where is your correct answer?