Question

Calcule o valor da expressão A= 8^1/3 +(1/9)^1/2 + 16^1/4

Answer 1

$8^{ \frac{1}{3} } + ( \frac{1}{9} )^{ \frac{1}{2} } + 16^{ \frac{1}{4} } =$

$\sqrt[3]{8} + \sqrt{ \frac{1}{9} } + \sqrt[4]{16} =$

$\sqrt[3]{2^3} + \sqrt{ \frac{1}{3^2} } + \sqrt[4]{2^4} =$

$2 + \frac{1}{3} +2= 4+ \frac{1}{3} = \frac{13}{3}$

Answer 2

A = 8^1/3 + (1/9)^1/2 + 16^1/4
A = ∛8   +    √1/9      + ⁴√16  
A = ∛2³    +   √1/9    +  ⁴√2⁴
A =   2     +     1/3   +  2
 m.m.c = 3
6/3 + 1/3 + 6/3 = 13/3