Question

determine as raízes:

A) 3^√-1000=
B) √1/36=
C) 12^√1=
D) 3^√1/27=
​

Answer 1

Explicação passo-a-passo:

a)

$\sqrt[3]{-1000} \\\\=\sqrt[3]{(-10)(-10)(-10)} \\\\=\sqrt[3]{(-10)^3} \\\\=\sqrt[3]{-10}^3 \\\\=-10$

b)

$\sqrt{\dfrac{1}{36}}\\\\\\=\dfrac{\sqrt{1}}{\sqrt{36}}\\\\\\=\dfrac{1}{6}$

c)

$\sqrt[12]{1} \\\\=\sqrt[12]{1^{12}} \\\\=1$

d)

$\sqrt[3]{\dfrac{1}{27}}\\\\\\=\dfrac{\sqrt[3]{1}}{\sqrt[3]{27}}\\\\\\=\dfrac{1}{3}$

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