Mathematics
10 Online
OpenStudy (anonymous):
Evaluate when a=2, b=-3, c=1/2, and d=10
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hartnn (hartnn):
whats the expression ?
OpenStudy (anonymous):
\[\left( a ^{b}b \right)^{3}\div a ^{2}bc ^{4}\]
OpenStudy (anonymous):
sorry for not writing the expression faster
hartnn (hartnn):
ok, lets take one by one
a^b = 2^(-3) = ?
OpenStudy (anonymous):
.125
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OpenStudy (anonymous):
\[(a ^{b}b)^{3}=(2^{-3}(-3))^{3}=(\frac{ 1 }{ 2^{3} }(-3))^{3}=(\frac{ -3 }{ 8 })^{3}\]
OpenStudy (anonymous):
\[a ^{2}bc ^{4}=2^{2}(-3)(\frac{ 1 }{ 2 }^{4})=\frac{ 2^{2}(-3)1^{4} }{ 2 }\]
OpenStudy (anonymous):
but in decimal form that = -.052734375
OpenStudy (anonymous):
I got .0197753906
OpenStudy (anonymous):
so, \[(\frac{ -3 }{ 8 })^{3}:\frac{ 2^{2}(-3)1^{4} }{ 2 }=\frac{ (-3)^{3} }{ 8^{3} }\times \frac{ 2 }{ 2^{2(-3)1^{4}} }\]
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OpenStudy (anonymous):
\[\frac{ (-3)^{3} }{ 8^{3} }\times \frac{ 2 }{ 2^{2}(-3)1^{4} }\]
OpenStudy (anonymous):
no need to change it into decimal
OpenStudy (anonymous):
let it in fraction
OpenStudy (anonymous):
thx ☺
OpenStudy (anonymous):
but i got 81/2048?? is that even correct
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OpenStudy (anonymous):
\[\frac{ -27 }{ 512 }\times \frac{ 2 }{-12 }\]
OpenStudy (anonymous):
can you solve it?
OpenStudy (anonymous):
9/1024
OpenStudy (anonymous):
great!
OpenStudy (anonymous):
serously thats correct
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
thanks so much
OpenStudy (anonymous):
u're welcome