Question

Xfa urgente ayuda. Escribir como raiz y resolver A) (4/9)elevado 1/2+(-1/8)elevado1/3=. B) 9 elevado 3/2 : (-1/27)elevado 2/3=

Answer 1

A=(4/9)^1/2+(-1/8)^1/3
A=raíz cuadrada de (4/9)+raíz cubica de (-1/8)
A=2/3+(-1/2)=-1/6
para B:
B=(9^3/2)/(-1/27)^2/3
B=27/(1/9)=243

Answer 2

A) 
$( \frac{4}{9})^ \frac{1}{2}+( -\frac{1}{8} ) ^\frac{1}{3} = \\ \\ \sqrt{ \frac{4}{9} }+ \sqrt[3]{- \frac{1}{8} }= \\ \\ \frac{2}{3}- \frac{1}{2} = \\ \\ \frac{4-3}{6} = \frac{1}{6} \\ \\ \\B)\ \frac{9 ^\frac{3}{2} }{(- \frac{1}{27 })^\frac{2}{3} } = \\ \\ \\ \frac{ \sqrt{9^3} }{ \sqrt[3]{(- \frac{1}{27})^2 } } = \\ \\ \\ \frac{9 \sqrt{9} }{ \sqrt[3]{ \frac{1}{729} } } = \\ \\ \\ \frac{27}{ \frac{1}{9} }= \\ \\ \\ \frac{27}{9} = \\ \\ 3$