Question

Rewrite the expression with rational exponents as a radical expression.

4 times x to the three sevenths power

4 times the seventh root of x cubed
4 times the cube root of x to the power of 7
seventh root of the quantity 4 times x cubed
cube root of the quantity 4 times x to the power of 7

Answer 1

c

Explanation:

Answer 2

If the expression is
`4x^(3)/(7)`, then the answer is the first option.

If the expression is
`(4x)^(3)/(7)`, then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form
`\sqrt[n]{x}`, you can rewrite as:

`=x^(1)/(n)`

Then:

- If the expression is
`4x^(3)/(7)`, then you can rewrite it in the following radical form:

`=4\sqrt[7]{x^3}` (This form matches with the first option.)

- If the expression is
`(4x)^(3)/(7)`, then you can rewrite it in the following radical form:

`=\sqrt[7]{(4x)^3}` (This form matches with the third option).