Answer:
[tex] x^{\frac{3}{7}}[/tex]
Step-by-step explanation:
Given : seventh root of x times the seventh root of x times the seventh root of x
To Find :Which of the following is the simplified form
Solution:
Seventh root of x= [tex]\sqrt[7]{x} =x^{\frac{1}{7}}[/tex]
Now we are given that seventh root of x times the seventh root of x times the seventh root of x
[tex]\Rightarrow x^{\frac{1}{7}} \times x^{\frac{1}{7}} \times x^{\frac{1}{7}}[/tex]
Property : [tex]a^x \times a^y =a^{x+y}[/tex]
So, [tex]\Rightarrow x^{\frac{1}{7}+\frac{1}{7} + \frac{1}{7}}[/tex]
[tex]\Rightarrow x^{\frac{3}{7}}[/tex]
So, the simplified form of the seventh root of x times the seventh root of x times the seventh root of x is [tex] x^{\frac{3}{7}}[/tex]
So, Option A is true.
