Question

обчисліть
1.
$( - \sqrt[6]{5} )^{6}$
2.
$\sqrt[3]{27 \times 64}$
3.
$\frac{ \sqrt{72} }{ \sqrt{2} }$
4.
$\sqrt[8]{( - 6)^{8} }$
5.
${16}^{ \frac{3}{4} } + (0.5)^{ - 2}$
​

Answer 1

Ответ:

$1. \: \: ( - \sqrt[6]{5} ) {}^{6} = ( \sqrt[6]{5} ) {}^{6} = 5.$

$2. \: \: \sqrt[3]{27 \times 64} = \sqrt[3]{1728} = \sqrt[3]{12 {}^{3} } = 12.$

$3. \: \: \frac{ \sqrt{72} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{ \sqrt{2} } = 6.$

$4. \: \: \sqrt[8]{( - 6) {}^{8} } = | - 6| = 6.$