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Question 607849: does (4x^4y^8)(4x^4y^8) have the same value as (2x^2y^4)^4?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! (4x^4y^8)(4x^4y^8)
(4*4)*(x^4*x^4)*(y^8*y^8)
16*(x^(4+4))*(y^(8+8))
16*x^8*y^16
So (4x^4y^8)(4x^4y^8) simplifies to 16*x^8*y^16
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(2x^2y^4)^4
2^4*(x^2)^4*(y^4)^4
16*(x^(2*4))*(y^(4*4))
16*x^8*y^16
So (2x^2y^4)^4 simplifies to 16*x^8*y^16
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Since both expressions simplify to 16*x^8*y^16, this must mean that the two expressions are equivalent.
So essentially, (4x^4y^8)(4x^4y^8) is the same as (2x^2y^4)^4
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Jim
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