Question

As simplificações de $\sqrt[3]{3^{2} }$X$\sqrt[5]{3}$ e $\sqrt[4]{2^{10} }$ sao respectivamente:

POR FAVOR ME AJUDEM

Answer 1

$\sqrt[3]{ {3}^{2} } \cdot \sqrt[5]{3} = \\ \\ {3}^{ \frac{2}{3} } \cdot {3}^{ \frac{1}{5} } = \\ \\ {3}^{ \frac{13}{15} } = \\ \\ \sqrt[15]{ {3}^{13} }$

$\sqrt[4]{ {2}^{10} } = \\ \\ \sqrt[4]{ {2}^{4} \cdot {2}^{4} \cdot {2}^{2} } = \\ \\ \sqrt[4]{ {2}^{4} } \cdot \sqrt[4]{ {2}^{4} } \cdot \sqrt[4]{ {2}^{2} } = \\ \\ 4 \sqrt[4]{4}$

Answer 2

Oie, Td Bom?!

I.

$= \sqrt[3]{3 {}^{2} } \: . \: \sqrt[5]{3}$

$= \sqrt[15]{3 {}^{10} } \: . \: \sqrt[15]{3 {}^{3} }$

$= \sqrt[15]{3 {}^{10} \: .\:3 {}^{3} }$

$= \sqrt[15]{3 {}^{13} }$

II.

$= \sqrt[4]{2 {}^{10} }$

$= \sqrt{2 {}^{5} }$

$= \sqrt{2 {}^{4} \: . \: 2}$

$= \sqrt{2 {}^{4} } \: . \: \sqrt{2}$

$= 2 {}^{2} \: . \: \sqrt{2}$

$= 4 \sqrt{2}$

Att. Makaveli1996