SOLUTION: Simplify the following expression: 2 (4x2)3 (y3)5 The answer is {{{128x^6y^15}}} now the question is.....HOW do I even get there???

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Simplify the following expression: 2 (4x2)3 (y3)5 The answer is {{{128x^6y^15}}} now the question is.....HOW do I even get there???      Log On


   

Question 734551: Simplify the following expression: 2 (4x2)3 (y3)5
The answer is 128x%5E6y%5E15 now the question is.....HOW do I even get there???
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(4x^2)^3 = (4^3)*(x^2)^3

(4x^2)^3 = 64*x^(2*3)

(4x^2)^3 = 64*x^6

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(y^3)^5 = y^(3*5)

(y^3)^5 = y^(15)

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2(4x^2)^3 * (y^3)^5

2(64*x^6) * (y^(15))

(2*64) * x^6 * (y^(15))

128 * x^6 * y^(15)

So that's why the answer is 128x%5E6y%5E15