# How do you write #root3(x^-6)# with fractional exponent?

##### 2 Answers

#### Explanation:

Note that

#roota(x^b)=x^(a//b)#

Thus,

#root3(x^-6)=x^(-6//3)=x^-2#

Note that

#x^-2=1/x^2#

both of which are acceptable answers.

Very slight expansion on the process

#### Explanation:

Given:

Consider the

Put it back into the root giving

This is the same as

But

The key question is about the state being positive or negative.

Consider

Consider the

However the given expression has been simplified such that it involves

So it is correct to write the answer as positive. That is, we do not have negative