Question

Pls help me with these 2 math questions

Answer 1

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

Explanation:

Answer 2

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

2.D.
`x^{(1)/(2)}`

Explanation:

We are given that

`7(x)^{(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)^{(2)/(3)}=7\sqrt[3]{x^2}`

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

Option C is true.

2.
`(x^{(1)/(6)})^3`

We have to simplify

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

Apply this rule

`x^{(1)/(6)* 3}=x^{(1)/(2)}`

`(x^{(1)/(6)})^3=x^{(1)/(2)}`

Hence, option D is true.