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I have this question for yall, what is (2x^3y)^6? A friend of mine is trying to tell me that the answer is 2x^18y^6 because 2x is one number. Please help!

 Jan 17, 2019
 #1
avatar+28164 
+2

(2x^3y)^6 = 2^6.x^18.y^6

 

((2x)^3y)^6 = 2^18.x^18.y^6

 

2(x^3y)^6 = 2.x^18.y^6

 Jan 17, 2019
edited by Alan  Jan 17, 2019
 #2
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how?

Guest Jan 17, 2019
 #3
avatar+28164 
+3

How what?!!

 

I used the laws of indices and the fact that raising to a power takes priority over multiplication.  To allow multiplication to be done before raising to a power, parentheses must be used.

Alan  Jan 17, 2019
 #4
avatar+104488 
+3

I think this is your actual question.......

Alan is telling you the question that your friend has effectively answered, which is a different question.  Some confusion here. :)

 

Anyway....

 

\((2x^3y)^6\\ =(2\times x^3\times y)^6\\ =2^6\times(x^3)^6\times y^6\\ =64\times x^{18}\times y^6\\ =64 x^{18} y^6\\ \)

.
 Jan 18, 2019

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