Question

what is x cubed times radical x cubed

Answer 1

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

Answer 2

a square root of A, is the same as A^{1/2}

so you have

\[x^3\times (x^{1/2})^3\]

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

\(\Huge\color{green }{ \bf x^3 \times \sqrt{x^3 } }\)


\(\Huge\color{green}{ \bf x^3 \times \sqrt[2]{x^3 } }\)


\(\Huge\color{green}{ \bf x^3 \times x^{2/3} }\)


\(\Huge\color{green}{ \bf x^{3+2/3} }\)


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