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Mathematics 8 Online
OpenStudy (anonymous):

what is x cubed times radical x cubed

OpenStudy (unklerhaukus):

\[x^3\times\sqrt x^3\]

OpenStudy (unklerhaukus):

a square root of A, is the same as A^{1/2} so you have \[x^3\times (x^{1/2})^3\]

OpenStudy (unklerhaukus):

now combine the indexes of the second term like this \[(A^m)^n=A^{mn}\] (multiply them together)

OpenStudy (unklerhaukus):

the last step is to add the indexes of the two terms \[A^n\times A^m=A^{n+m}\]

OpenStudy (unklerhaukus):

Your final answer should be \(x\) to the power of some fraction

OpenStudy (solomonzelman):

\(\Huge\color{green }{ \bf x^3 \times \sqrt{x^3 } }\) \(\Huge\color{green}{ \bf x^3 \times \sqrt[2]{x^3 } }\) \(\Huge\color{green}{ \bf x^3 \times x^{2/3} }\) \(\Huge\color{green}{ \bf x^{3+2/3} }\) \(\Huge\color{green}{ \bf x^{(3+2/3)}= }\)\(\Huge\color{red}{ \bf ??? }\) (you tell me )

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