Simplify 512xm3‾‾‾‾‾‾√ . assume x and m are nonnegative. 10m33x‾‾√ 60m3x√ 60xm3‾‾‾‾√ 10m3xm‾‾‾‾√

The expression is given in index form

The result of the simplifying is:

We have:

Express 512 as an exponent

Expand

Split

Evaluate all square roots

Rewrite as:

Hence, the result of the simplification is:

Read more about simplification of expressions at:

link

After you reposted, I see the actual question is: 5.  I am going to leave the information below since it will be helpful for you going forward in the class.

5

= 5

= 5

= 5*2*m

= 10m

**********************************

I am going to assume that the problem is actually

=

Look for groups of 2 (since it is square root)

=  

Bring ONE of each pair outside the square root and leave the rest inside

= 2 * 2 * 2 * 2 * m  

= 16m

If the question is actually "cubed root" and not square root, then do the same as above except look for groups of 3.