Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (alexh107):

Evaluate 8^-4/3

OpenStudy (alexh107):

\[8^{-4/3}\]

rishavraj (rishavraj):

\[8 = 2^3\] u can proceed now

OpenStudy (alexh107):

I'm not sure how to apply that to the question

rishavraj (rishavraj):

\[8^{-\frac{ 4 }{ 3 }} = (2^3)^{-\frac{ 4 }{ 3 }}\] now??

OpenStudy (alexh107):

I'm not sure what to do with the ^-4/3 part

rishavraj (rishavraj):

\[(a^x)^y = a^{xy}\]

OpenStudy (alexh107):

Sorry, I'm still confused

rishavraj (rishavraj):

see as \[(a^x)^y = a^{xy}\] \[(2^3)^{-4/3}\] \[2^{3 \times (-4/3)}\] \[2^{-4}\]

OpenStudy (alexh107):

Ah okay, and then 2^-4 = 1/16

rishavraj (rishavraj):

yeah... :)

OpenStudy (alexh107):

Okay thanks for all your help!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!