Okay so I have to simplify this equation using properties of exponents, and it has to be in radical form

Equation: 3x^1/3 times (8x^2)

So far I have 24 (which is correct) and it is written like this: 24^?√?^?

24 to the "?" Power (radical symbol)"?" To the "?" Power

I wrote this confusingly, if you can figure it out THANKS A LOT!!

Guest
May 19, 2017

#1
**+2 **

\((3x^{\frac13})\cdot(8x^2) \\~\\ =3\cdot x^{\frac13}\cdot8\cdot x^2 \\~\\ =3\cdot8\cdot x^2\cdot x^{\frac13} \\~\\ =24\cdot x^{2+\frac13} \\~\\ =24\cdot x^{\frac73}\)

And x^(7/3) is the same thing as the cube root of ( x^{7} ) ....

\(=24\sqrt[3]{x^7}\)

Does that answer the question ?

hectictar
May 19, 2017