Question

Which expression is equivalent to ?
algebra II

Answer 1

Third option

Explanation:

Given expression is:

`\sqrt[3]{32x^8y^(10)}`

Making the exponents multiples of 3

`=\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*(1)/(3))} *4^{(1)/(3) }*x^{(6*(1)/(3))}*x^{(2*(1)/(3))}*y^{(9*(1)/(3))}*y^{(1)/(3)}\\=2x^2y^3\sqrt[3]{4x^2y}`

Hence,

Option No 3 is correct ..