Question

II. Efectuar las siguientes operaciones de potenciación y radicación

Answer 1

Explicación paso a paso:

1.-

$\sqrt{ - 64} = 8i$

2.-

$[(3 \sqrt{2})(5 \sqrt{3}) ] {}^{2} + (\frac{1}{2} ) {}^{ - 2} \\ (15 \sqrt{6} ) {}^{2} + ( \frac{2}{1} ) {}^{2} \\ 225(6) + 4 \\ 1350 + 4 = 1354$

3.-

$( - \frac{1}{2} + 7) {}^{ - 2} + 105 {}^{0} \\ ( \frac{1}{ - \frac{1}{2} + 7 } ) {}^{2} + 1 \\ ( \frac{1}{ \frac{13}{2} } ) {}^{2} + 1 \\ ( \frac{2}{13} ) {}^{2} + 1 = \frac{4}{169} + 1 = \frac{173}{169}$

4.-

$\sqrt{7} \: {}^{0} + ( \frac{5}{3} ) {}^{ - 1} + { (\frac{2}{3}) }^{ - 1} \\ 1 + \frac{3}{5} + \frac{3}{2} = 1 + \frac{6 + 15}{10} \\ 1 + \frac{21}{10} = \frac{31}{10}$

5.-

$\sqrt[4]{ - 16} = 2i$

6.-

$(2 \sqrt{3} ) {}^{2} ( [(38 \sqrt{74) {}^{5} } ] {}^{0} ) {}^{18} \\ 4 \times 3([1]) {}^{18} \\ 12(1) = 12$