Question

Допоможіть, будь ласка

Answer 1

3.22.

1)

$\sqrt[5]{0.01024} - \sqrt[3]{ - \frac{27}{125} } = \sqrt[5]{ {0.4}^{5} } - \sqrt[3]{ \frac{ {( - 3)}^{3} }{ {( - 5)}^{3} } } = 0.4 - ( - \frac{3}{5} ) = 0.4 + \frac{3}{5} = 0.4 + 0.6 = 1$

2)

$\sqrt[5]{ - 7 \frac{19}{32} } - \sqrt{12 \frac{1}{4} } = \sqrt[5]{ - \frac{243}{32} } - \sqrt{ \frac{49}{4} } = \sqrt[5]{ \frac{ { ( - 3)}^{5} }{ {( - 2)}^{5} } } - \sqrt{ \frac{ {7}^{2} }{ {2}^{2} } } = - \frac{3}{2} - \frac{7}{2} = - \frac{10}{2} = - 5$

3.24.

1)

${(2 \sqrt[3]{5}) }^{3} = {2}^{3} {( \sqrt[3]{5} )}^{3} = 8 \times 5 = 40$

2)

${( - 3 \sqrt[4]{2} )}^{4} = {( - 3)}^{4} {( \sqrt[4]{2}) }^{4} = 81 \times 2 = 162$

3)

${( - 2 \sqrt[5]{11}) }^{5} = {( - 2)}^{5} {( \sqrt[5]{11}) }^{5} = - 32 \times 11 = - 352$

3)

${( - 3 \sqrt[5]{2}) }^{5} = {( - 3)}^{5} {( \sqrt[5]{2}) }^{5} = - 243 \times 2 = - 486$

4)

${(5 \sqrt[3]{ - 0.1}) }^{3} = {5}^{3} {( \sqrt[3]{ - 0.1}) }^{3} = 125 \times ( - 0.1) = - 12.5$

4)

${(10 \sqrt[3]{ - 0.2}) }^{3} = {10}^{3} {( \sqrt[3]{ - 0.2}) }^{3} = 1000 \times ( - 0.2) = - 200$