Question

me ajude a resolver a 12

Answer 1

a)

$\sqrt[12]{ {x}^{5} } . \sqrt[12]{x} = \sqrt[12]{ {x}^{5} .x} = \sqrt[12]{ {x}^{5 + 1} } \\ = \sqrt[12]{ {x}^{6} } = \sqrt{x}$

b)

$\sqrt[20]{ {y}^{3} } . \sqrt[20]{y} = \sqrt[20]{ {y}^{3} .y} = \sqrt[20]{ {y}^{4} } \\ = \sqrt[5]{y}$

c)

$\sqrt[15]{ {x}^{4}. {y}^{2} } . \sqrt[15]{x {y}^{3} } \\ \sqrt[15]{ {x}^{4}.x. {y}^{2}. {y}^{3} } \\ = \sqrt[15]{ {x}^{5} . {y}^{5} }$

$= \sqrt[15]{ {(x.y)}^{5} } = \sqrt[3]{x.y}$

d)

$\sqrt[9]{x} . \sqrt[9]{ {x}^{5} } = \sqrt[9]{x. {x}^{5} } = \sqrt[9]{ {x}^{6} } \\ = \sqrt[3]{ {x}^{2} }$

e)

$\sqrt[14]{ {y}^{3} }. \sqrt[14]{ {y}^{3} }. \sqrt[14]{y} = \sqrt[14]{ {y}^{3} . {y}^{3}.y } \\ = \sqrt[14]{ {y}^{7} } = \sqrt{y}$