Question

Pls help me with these 2 math questions

Answer 1

Answer:

First, 7$\sqrt[3]{x^2}$ Second, x^1/2

Step-by-step explanation:

Answer 2

Answer:

1.C.$7\sqrt[3]{x^2}$

2.D.$x^{\frac{1}{2}}$

Step-by-step explanation:

We are given that

$7(x)^{\frac{2}{3}}$

We have to write given rational exponent in radical expression

Radical expression: The  expression contain  square root , cube root , fourth root etc.

$7(x)^{\frac{2}{3}}=7\sqrt[3]{x^2}$

Hence, the radical expression =$7\sqrt[3]{x^2}$

Option C is true.

2.$(x^{\frac{1}{6}})^3$

We have to simplify

We know that $(a^b)^c=a^(b\cdot c}$

Apply this rule

$x^{\frac{1}{6}\times 3}=x^{\frac{1}{2}}$

$(x^{\frac{1}{6}})^3=x^{\frac{1}{2}}$

Hence, option D is true.