+0  
 
0
151
4
avatar

Simplifying using properties of exponents. Type your answer in radical form

X^2/3(8x)^1/3

thanks!

Guest May 18, 2017
Sort: 

4+0 Answers

 #1
avatar+78645 
+2

 

x^(2/3) * ( 8x)^(1/3)   =

 

x^(2/3) * 2x^(1/3)  =

 

x^(2/3) * x^(1/3) * 2  =

 

x * 2  =

 

2x

 

 

cool cool cool

CPhill  May 18, 2017
 #3
avatar
0

Thanks

Guest May 19, 2017
 #2
avatar+443 
+3

I'm going to guess you were saying \(x^{\frac{2}{3}}\times(8x)^{\frac{1}{3}}\)

I've done some exploration of exponents on my own, and discovered a few rules I otherwise would be oblivious to. So, let's start by making the first term have a unit fraction (that is, one over something, or no fraction): \((x^{2})^{\frac{1}{3}}*(8x)^{\frac{1}{3}}\)

One of those rules is that the reciprocal power x of a number y = the xth root of y.

Another is that you can multiply bases w/ the same powers.

\(\sqrt[3]{x^2\times8x}\)

The most simple form can be found by multiplying the stuff under the same power, so:

\(\sqrt[3]{8x^3}\)

This one is even easier to simplify. 8 = 23, so:

\(2x\)

is the answer.

helperid1839321  May 18, 2017
 #4
avatar
+1

Much help thanks very much

Guest May 19, 2017

14 Online Users

avatar
avatar
avatar
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