Question

potencias e raizes
Calcule
a) (- 1 )⁵ + ( 1 )⁵ =
2 2

b)√25 + √9=
36 16

c)√25 - √9 =
36 16

d)∛8 + ∛27=
27 8

Answer 1

a)
$(- \frac{1}{2} )^5+( \frac{1}{2} )^5=- \frac{1}{32} + \frac{1}{32} =0$

b)
$\sqrt{ \frac{25}{36} } + \sqrt{ \frac{9}{16} } = \frac{5}{6} + \frac{3}{4} = \frac{10+9}{12}= \frac{19}{12}$

c)
$\sqrt{ \frac{25}{36} } - \sqrt{ \frac{9}{16} } = \frac{5}{6} - \frac{3}{4} = \frac{10-9}{12} = \frac{1}{12}$

d)
$\sqrt[3]{ \frac{8}{27} } + \sqrt[3]{ \frac{27}{8} } = \sqrt[3]{( \frac{2}{3})^3 } + \sqrt[3]{( \frac{3}{2})^3 } = \\ \\ \frac{2}{3} + \frac{3}{2} = \frac{4+9}{6} = \frac{13}{6}$