Question

$\sqrt[14]{3 {}^{7} } =$
$\sqrt[15]{a {}^{5} } =$
$\sqrt{8 {}^{6 = } }$
$\sqrt{5 {}^{18 = } }$


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Answer 1

$\sf \sqrt[14]{3 {}^{7} } =3 ^{ \frac{7}{14} } = 3 ^{ \frac{1}{2} } = \red{\sqrt{3}} \\ \\ \sf \sqrt[15]{a {}^{5} } =a ^{ { \frac{5}{15} } } = \red{\sqrt[3]{a}} \\ \\\sf \sqrt{8 {}^{6 = } } 8 ^{3} = 8 \times 8 \times 8 =\red{ 512} \\ \\ \sf \sqrt{5 {}^{18 = } }5 ^{9} = 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 = \red{19531251953125}$