Question

expresse cada potência na forma de radical
PLMDS URGENTE

Answer 1

Resposta:

Explicação passo a passo:

Regra:

$a^{\frac{m}{n} } =\sqrt[n]{a^{m} }$

a)

$43^{\frac{1}{9} } =\sqrt[9]{43}$

b)

$7^{-\frac{2}{3} } =(7^{-1}) ^{\frac{2}{3} } =(\frac{1}{7}) ^{\frac{2}{3} } =\sqrt[3]{(\frac{1}{7} )^{2} } =\sqrt[3]{\frac{1}{49} }$

c)

$(\frac{1}{4}) ^{\frac{1}{4} } =\sqrt[4]{\frac{1}{4} } =\frac{\sqrt[4]{1} }{\sqrt[4]{4} } =\frac{1}{\sqrt[4]{2^{2} } } =\frac{1}{\sqrt{2} } =\frac{\sqrt{2} }{2}$

d)

$0,25=1/4$

$(\frac{1}{4}) ^{\frac{5}{12} } =\sqrt[12]{(\frac{1}{4}) ^{5} } =\sqrt[12]{\frac{1}{4^{5} } } =\sqrt[12]{\frac{1}{1024} }$