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Mathematics 8 Online
OpenStudy (bloomlocke367):

@Nnesha, help?

OpenStudy (bloomlocke367):

\(\large(3x^{\frac{2}{3}})(4x^{\frac{3}{4}})\)

Nnesha (nnesha):

when you multiply same bases you should add their exponents \[\huge\rm x^m \times x^n=x^{m+n}\]

OpenStudy (bloomlocke367):

.-. I knew that. the fractions threw me off, I guess XD

OpenStudy (bloomlocke367):

soooo \(12x^{\frac{17}{12}}\)?

OpenStudy (bloomlocke367):

@King.Void.

OpenStudy (bloomlocke367):

nevermind xp

OpenStudy (king.void.):

I am not good at math...

Nnesha (nnesha):

find the common denominator 3 and 4 are not same so multiply them \[\huge\rm \frac{ 2(4)+3(3) }{ 4(3) }\] multiply the numerator of \(\color{red}{\rm 1st}\) fraction by the denominator of \(\color{red}{\rm 2nd}\) fraction multiply the numerator of \(\color{red}{\rm 2nd}\) fraction by the denominator of \(\color{red}{\rm 1st}\) fraction \[\frac{ 8+9 }{ 12 }=\rm answer\]

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