Answer:
Option C) [tex]x^{\frac{5}{9}}[/tex] is correct
Therefore [tex](x^5)^{\frac{1}{9}}=x^{\frac{5}{9}}[/tex]
Step-by-step explanation:
Given expression is
To simplify the given expression :
[tex](x^5)^{\frac{1}{9}}[/tex]
[tex]=(x)^{5\times \frac{1}{9}}[/tex] ( using the property [tex](a^m)^n=a^{mn}[/tex] )
[tex]=x^{\frac{5}{9}}[/tex]
Therefore [tex](x^5)^{\frac{1}{9}}=x^{\frac{5}{9}}[/tex]
Therefore option C) [tex]x^{\frac{5}{9}}[/tex] is correct
Therefore the simplified expression is [tex]x^{\frac{5}{9}}[/tex]
