(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Simplify.

a) [tex]\sqrt{x^6}[/tex]

b) [tex]8 \sqrt{x^7y^{10}} - 10 \sqrt{x^7y^{10}}[/tex]

For b, it's y^10. I can't make it look right for some reason.

Mod note: Fixed the exponent.

2. Relevant equations

3. The attempt at a solution

I can simplify all of them but I don't know when or where I need to put in absolute value symbols to the solution. I know the solution because my book shows me, but I don't understand why the absolute values are where they are.

For instance, the solution to a is [tex]|x^3|[/tex] but I can only get to [tex]x^3[/tex] without becoming confused.

For b, i can get to [tex]-2x^3y^5 \sqrt{x}[/tex] but the solution is [tex]-2x^3|y^5| \sqrt{x}[/tex]

So how do you know when an absolute value is required?

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# Homework Help: Simplifying Absolute Values

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