Question

Simplifique:

a)
$\sqrt[]{7 {}^{8} }$
b)
$\sqrt[3]{5 {}^{9} }$
c)
$\sqrt[4]{7 {}^{12} }$
d)
$\sqrt[2]{9 {}^{20} }$
e)
$\sqrt[]{x {}^{2} }$
f)
$\sqrt[3]{a {}^{5} . \: x {}^{8} }$
g)
$\sqrt[4]{x {}^{8} . \: a {}^{3} }$
h)
$\sqrt[3]{x {}^{10} }$
Me ajudem pfvr


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Answer 1

Explicação passo-a-passo:

$a) \sqrt{7 {}^{8} } = 7 {}^{ \frac{8}{2} } = 7 {}^{4}$

$b) \sqrt[3]{5 {}^{9} } = 5 {}^{ \frac{9}{3} } = 5 {}^{3}$

$c) \sqrt[4]{7 {}^{12} } = 7 {}^{ \frac{12}{4} } = 7 {}^{3}$

$d) \sqrt[2]{9 {}^{20} } = 9 {}^{ \frac{20}{2} } = 9 {}^{10}$

$e) \sqrt{x {}^{2} } = x {}^{ \frac{2}{2} } = x$

$f) \sqrt[3]{a {}^{5}.x {}^{8} } = a {}^{ \frac{5}{3} }.x {}^{ \frac{8}{3} }$

$g) \sqrt[4]{x {}^{8} .a {}^{3} } = x {}^{ \frac{8}{4} } .a {}^{ \frac{3}{4} } = x {}^{2} .a {}^{3}$

$h) \sqrt[3]{x {}^{10} } = x {}^{ \frac{10}{3} }$