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Elza [17]
3 years ago
10

Which expression is equivalent to 3 square root 256x^10y^7?

Mathematics
2 answers:
Alona [7]3 years ago
8 0

Answer: b just to sum up his answer

Step-by-step explanation:

Nezavi [6.7K]3 years ago
3 0
The correct answer is 4x^3y^2(\sqrt[3]{4xy}).

When we list the prime factorization of 256x^10y^7, we want to look for triples (this is a cubed root):

256 = 2³(2³)(2²)
x^10 = x³(x³)(x³)x
y^7 = y³(y³)y

Taking out our triples, we have 
2*2*x*x*x*y*y outside the cubed root, with 2²(x)(y) left inside:
2(2)(x)(x)(x)(y)(y)\sqrt[3]{2^2xy}
\\
\\=4x^3y^2\sqrt[3]{4xy}


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The value of the exterior angle is 104\°

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