Question

Determine o valor de x em cada caso.
a)
$\sqrt[12]{ {2}^{8} } = \sqrt[x]{ {2}^{2} }$
b)
$\sqrt[10]{ {3}^{15} } = \sqrt[x]{ {3}^{3} }$
c)
$\sqrt[27]{512} = \sqrt[3]{ {2}^{x} }$
d)
$\sqrt[10]{ \frac{81}{625} } = \sqrt[5]{( \frac{3}{5} } ) {}^{x}$
e)
$\sqrt[x]{ \frac{5}{9} } = \sqrt[6]{ \frac{125}{729} }$
f)
$\sqrt[8]{ \frac{2.401}{625} } = \sqrt[x]{ \frac{7}{5} }$

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Answer 1

Resposta:

Determine o valor de x em cada caso.

a)

\sqrt[12]{ {2}^{8} } = \sqrt[x]{ {2}^{2} }1228​=x22​

b)

\sqrt[10]{ {3}^{15} } = \sqrt[x]{ {3}^{3} }10315​=x33​

c)

\sqrt[27]{512} = \sqrt[3]{ {2}^{x} }27512​=32x​

d)

\sqrt[10]{ \frac{81}{625} } = \sqrt[5]{( \frac{3}{5} } ) {}^{x}1062581​​=5(53​​)x

e)

\sqrt[x]{ \frac{5}{9} } = \sqrt[6]{ \frac{125}{729} }x95​​=6729125​​

f)

\sqrt[8]{ \frac{2.401}{625} } = \sqrt[x]{ \frac{7}{5} }86252.401​​=x57​​

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