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  • 25-06-2019
  • Mathematics
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Which expression is equivalent to ?
algebra II

Which expression is equivalent to algebra II class=

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absor201
absor201 absor201
  • 25-06-2019

Answer:

Third option

Step-by-step explanation:

Given expression is:

[tex]\sqrt[3]{32x^8y^{10}}[/tex]

Making the exponents multiples of 3

[tex]=\sqrt[3]{8*4*x^6*x^2*y^{9}*y}\\=\sqrt[3]{2^3*4*x^6*x^2*y^{9}*y}\\Applying\ radical\\=2^{(3*\frac{1}{3})} *4^{\frac{1}{3} }*x^{(6*\frac{1}{3})}*x^{(2*\frac{1}{3})}*y^{(9*\frac{1}{3})}*y^{\frac{1}{3}}\\=2x^2y^3\sqrt[3]{4x^2y}[/tex]

Hence,

Option No 3 is correct ..

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