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Mathematics 7 Online
OpenStudy (anonymous):

Hey there I need help with simplifying this problem

OpenStudy (anonymous):

\[2x ^{-3/4}\div 4x ^{4/3}\]

OpenStudy (anonymous):

sorry it's -7/4 for the first exponent

OpenStudy (phi):

when you divide, you subtract exponents

OpenStudy (anonymous):

yes

OpenStudy (phi):

so what is -7/4 - 4/3 ?

OpenStudy (anonymous):

-37/12

OpenStudy (phi):

and what is 2/4

OpenStudy (anonymous):

1/2

OpenStudy (phi):

so that is the answer \[ \frac{x^{- \frac{37}{12}} }{2} = \frac{1}{2x^{\frac{37}{12}}}\]

OpenStudy (anonymous):

nope

OpenStudy (phi):

you could write \( x^{37/12} = x^3 x^{1/12} \)

OpenStudy (anonymous):

|dw:1385574738907:dw|

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