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



Guest May 18, 2017

4+0 Answers

avatar +73856 


x^(2/3) * ( 8x)^(1/3)   =


x^(2/3) * 2x^(1/3)  =


x^(2/3) * x^(1/3) * 2  =


x * 2  =





cool cool cool

CPhill May 18, 2017


Guest May 19, 2017
avatar +134 

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.


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


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


is the answer.

helperid1839321 May 18, 2017

Much help thanks very much

Guest May 19, 2017

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