Answer:
[tex]x^{\frac{3}{7} }[/tex]
Step-by-step explanation:
We want to simplify
[tex]x^{\frac{1}{7} }\times x^{\frac{1}{7} } \times x^{\frac{1}{7} }[/tex]
Recall that,
[tex]a^m\times a^n=a^{m+n}[/tex]
So weneed to write one base and add the exponents,
[tex]x^{\frac{1}{7} }\times x^{\frac{1}{7} } \times x^{\frac{1}{7} }= x^{\frac{1}{7}+\frac{1}{7}+\frac{1}{7}}[/tex]
We collect LCM in the exponent to get,
[tex]x^{\frac{1}{7} }\times x^{\frac{1}{7} } \times x^{\frac{1}{7}}= x^{\frac{1+1+1}{7}[/tex]
We simplify to obtain,
[tex]x^{\frac{3}{7}}[/tex]
The correct answer is A.
