Answer:
The correct answer option is D) x to the 1 third power.
Step-by-step explanation:
Firstly, we will translate the given word expression (open parentheses x to the 2 fifths power close parentheses to the 5 sixths power) into mathematical expression:
[tex](x^{\frac{2}{5} })^{\frac{5}{6}[/tex]
Now to simplify this, we must recall the law of multiplying the powers:
[tex](a^m)^n=a^{mn}[/tex]
So for the given expression, we will multiply the powers to get:
=[tex]x^{\frac{2}{5} }*^{\frac{5}{6}[/tex]
=[tex](x^{\frac{2}{6} })[/tex]
=[tex](x^{\frac{1}{3} })[/tex]
Therefore, the correct answer option is D) x to the 1 third power.
