Question

What is the simplified form of the following expression? Assume x≠0. ^5√10x/3x^3.

A) ^5√10x/3x
B) ^5√30/3x
C) ^5√120x^3/3x
D) ^5√810x^3/3x

Answer 1

It is answer a on eden

Explanation:

I did the exam

Answer 2

To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:

`\sqrt[5]{10x/3x^3}`
2. You can rewrite the expression as following:

`(\sqrt[5]{10}) x^(1/5)/ (\sqrt[5]{3}) x^(3/5)`
3. Applying the exponetns properties, you can substract the exponents whose bases are equal. In this case, you need to substract the exponents of x:

`\sqrt[5]{10}/ (\sqrt[5]{3})x^(2/5)`

`\sqrt[5]{10/3 x^(2)}`
Therefore, the answer is:
`\sqrt[5]{10/3x^(2) }`