Respuesta :
The expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3
1) x^1/2
find the square root
[tex]= √x^1/2
[/tex]
[tex]= x^1[/tex]
= x
2) x^2/3
[tex]= 3√x^2/3[/tex]
= x²
3) x^-3/5
[tex]= 5√x^-3/5[/tex]
[tex]= x^-3[/tex]
[tex]= 1/x^3[/tex]
4) x^-1/2
[tex]= √x^-1/2[/tex]
,
[tex]= x ^-1[/tex]
[tex]= 1/x[/tex]
5) x^1/3
[tex]= 3√x^1/3[/tex]
[tex]= x^1[/tex]
= x
Therefore, the expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3
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