Question

Responda:
B) ⁶√5² / ¹⁰√5³
C) ⁸√a⁵ b : ⁶√ab²

Answer 1

B) $\frac{ \sqrt[6]{5^2} }{ \sqrt[10]{5^3} } = \frac{ \sqrt[6.10]{5^{2.10}} }{ \sqrt[10.6]{5^{3.6}} } = \frac{ \sqrt[60]{5^{20}} }{ \sqrt[60]{5^{18}} } = \sqrt[60]{5^2}=5^{ \frac{2}{60} } =5^{ \frac{1}{30} }= \sqrt[30]{5}$

C) $\frac{ \sqrt[8]{a^5.b} }{ \sqrt[6]{(ab)^2} } = \frac{ \sqrt[24]{a^{15}.b^3} }{ \sqrt[24]{(ab)^8} } = \sqrt[24]{ \frac{a^7}{b^8}. \frac{1}{a^8.b^5} } = \sqrt[24]{ \frac{a^7}{a^8.b^5.b^8} } = \sqrt[24]{ \frac{a^{-1}}{b^{13}} } = \sqrt[24]{ \frac{1}{a.b^{13}} }$