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Mathematics 37 Online
EndersWorld:

Radical expressions

EndersWorld:

\[\frac{ 8x^7y^8z }{ 20x^6y^3z }\]

EndersWorld:

Me and shadow did a TON of this a few weeks ago, but the class moves so quickly I can’t remember a whole lot. I know in division I subtract the exponents.

Hero:

Yes, and so basically, since you're starting off, it's best to separate these into separate fractions and do one at a time: \(\dfrac{8}{20} \cdot\dfrac{x^7}{x^6}\cdot\dfrac{y^8}{y^3} \cdot\dfrac{z}{z}\)

Hero:

I'm certain you are able to easily reduce the numerical fraction to start with, right?

EndersWorld:

The two z’s do cancel out right?

Hero:

Yes, because anything over itself equals 1.

Hero:

It's best after that to start left and work right.

EndersWorld:

I may be wrong

Hero:

Don't be afraid to post what you've done so far.

EndersWorld:

\[\frac{ 2xy^5 }{ 5 }\]

Hero:

Looks good to me.

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