Question

ALGUEM ME RESPONDE POR FAVOR?? NÃO FICA PASSANDO -_-

RESOLVA SÓ ESSA CONTA: [(1,6)^3 x (2,4)^2]^2

Answer 1

Antes vou lembrar uns conceitos:

$(a\times b)^2= a^2\times b^2$

$(\dfrac{a}{b})^c = \dfrac{a^c}{b^c}\\\\\\a^b\times a^c = a^{b+c}\\\\\\(a^b)^c=a^{b\times c}$

Agora a questão:

$[(1,6)^3\times(2,4)^2]^2$

$[(\dfrac{16}{10})^3\times(\dfrac{24}{10})^2]^2$

$[(\dfrac{2^4}{10})^3\times (\dfrac{2^3\times3}{10} )^2]^2$

$[\dfrac{2^{12}}{10^3}\times \dfrac{2^6\times3^2}{10^2} ]^2\\\\(\dfrac{2^{18}\times 3^2}{10^5})^2\\\\\dfrac{2^{36}\times3^4}{10^{10}}\\\\\dfrac{2^{36}\times3^4}{2^{10}\times5^{10}}\\\\\dfrac{2^{26}\times3^4}{5^{10}}$