Answer:
1.C.[tex]7\sqrt[3]{x^2}[/tex]
2.D.[tex]x^{\frac{1}{2}}[/tex]
Step-by-step explanation:
We are given that
[tex]7(x)^{\frac{2}{3}}[/tex]
We have to write given rational exponent in radical expression
Radical expression: The expression contain square root , cube root , fourth root etc.
[tex]7(x)^{\frac{2}{3}}=7\sqrt[3]{x^2}[/tex]
Hence, the radical expression =[tex]7\sqrt[3]{x^2}[/tex]
Option C is true.
2.[tex](x^{\frac{1}{6}})^3[/tex]
We have to simplify
We know that [tex](a^b)^c=a^(b\cdot c}[/tex]
Apply this rule
[tex]x^{\frac{1}{6}\times 3}=x^{\frac{1}{2}}[/tex]
[tex](x^{\frac{1}{6}})^3=x^{\frac{1}{2}}[/tex]
Hence, option D is true.
