+0

# Simplifying using property of exponents help!!

0
30
2

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
Sort:

#1
+3380
+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 ( x7 ) ....

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

Does that answer the question ?

hectictar May 19, 2017
#2
+1

Yes! Thank you

Guest May 19, 2017

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.   See details