Question

calcule a raiz indicada
$a) \sqrt[9]{a {}^{3} } = \\ \\ b) \sqrt[3]{48} = \\ \\ c) \sqrt[4]{ {t}^{12} } =$
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Answer 1

Boa tarde!

$\sqrt[9]{{a}^{3} } = {a}^{ \frac{3}{9} } = {a}^{ \frac{1}{3} } = \sqrt[3]{a} \\ \\ b) \sqrt[3]{48} = \sqrt[3]{2.2.2.2.3} = \sqrt[3]{ {2}^{3}.2.3 } = 2 \sqrt[3]{6} \\ \\ c) \sqrt[4]{ {t}^{12} } = \sqrt[4]{ {t}^{4}. {t}^{4}. {t}^{4} } = t.t.t = {t}^{3}$

Espero ter ajudado!