Question

Which of the following represents cubed root of x squared in exponential form?

Answer 1

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

Explanation:

Since cubed root is the power 1/3, cubed root of x squared is;

`\sqrt[3]{x^(2) } =(x^(2) )^(1/3)`

Now, apply the following rule of exponents:

`(a^(m) )^(n) =a^(mn)`

So,

`\sqrt[3]{x^(2) } = x^(2(1/3))=x^(2/3)`