Question

Determine o valor de K-2, sabendo que:
(a fórmula está presente na foto)

ME AJUDEM! É URGENTE!​

Answer 1

Resposta:

$\displaystyle\\k=\sqrt[7]{\frac{3^{21}+3^{23}}{10}}=\sqrt[7]{\frac{3^{21}(1+3^{2})}{10}}=\sqrt[7]{\frac{3^{21}(1+9)}{10}}=\sqrt[7]{\frac{3^{21}(10)}{10}}=3^{\frac{21}{7}}=3^{3}\\\\\\k^{-2}=(3^{3})^{-2}=3^{3.(-2)}=3^{-6}$

Propriedades:

$(a^{m})^{n}=a^{m.n}\\\\\sqrt[n]{x^m} =x^{\frac{m}{n} }\\\\a^{m}a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n} \\\\a^{0}=1\\\\a^{1}=a$