Question

Como faz isso?? Alguém ajuda por favor, não consigo entender

Answer 1

$a)\ \sqrt[5]{9^2}\times\sqrt[5]{9}\\\\ =\sqrt[5]{9^2\times 9}\\\\ =\sqrt[5]{9^3}\\\\ =\sqrt[5]{(3\times 3)^3}\\\\ =\sqrt[5]{(3^2)^3}\\\\ =\sqrt[5]{3^{(2 \times 3)}}\\\\ =\sqrt[5]{3^6}\\\\ =\sqrt[5]{3^5 \times 3}\\\\ =\sqrt[5]{3^5} \times\sqrt[5]{3}\\\\ =\not\sqrt[5]{3^{\not 5}} \times\sqrt[5]{3}\\\\ =3\sqrt[5]{3}$


$b)\ \sqrt[9]{a^5b^8}\times\sqrt[9]{a^4b}\\\\ =\sqrt[9]{(a^5b^8) \times (a^4b)}\\\\ =\sqrt[9]{a^9b^9}\\\\ =\sqrt[9]{(ab)^9}\\\\ =\not\sqrt[9]{(ab)^{\not 9}}\\\\ =ab$


Bons estudos!