Question

solve this problem if you are a brainlist

Answer 1

The given expression can be written as

$\sqrt[9]{\frac{64x^{2} y^{3} }{216y^{6} z^{6} } }$

⇒ $\sqrt[9]{\frac{2^{6}x^{2}  }{6^{3}y^{6-3} z^{6} } }$

⇒ $\sqrt[9]{\frac{2^{6}x^{2}}{2^{3}3^{3}y^{3} z^{6} } }$

⇒$\sqrt[9]{\frac{2^{6-3}x^{2} }{3^{3}y^{3} z^{6} } }$

⇒$\sqrt[9]{\frac{2^{3}x^{2} }{3^{3}y^{3} z^{6} } }$

⇒${\frac{2^{3/9}x^{2/9} }{3^{3/9}y^{3/9} z^{6/9} } }$

⇒${\frac{2^{1/3}x^{2/9} }{3^{1/3}y^{1/3} z^{2/3} } }$

⇒${2^{1/3}x^{2/9} 3^{-1/3}y^{-1/3} z^{-2/3} }$