1. ## Product of Quotient

I really did not wanted to start a new thread, but like skeeter said
a single thread with multiple problems all strung out is more annoying.
.

So I'm having a bit of confusion with simplifying this algebraic expression.
Problem:$\displaystyle \frac{y^1^0}{2x^3}\frac{20x^1^4}{xy^6}$

How I solved it.

$\displaystyle \frac{y^1^0}{2x^3}\frac{20x^1^4}{xy^6}$ = $\displaystyle \frac{y^1^0&20x^1^4}{2x^3&xy^6}$

= $\displaystyle \frac{y^1^020x^1^4}{2x^4y^6}$ <-- Should I also add the bases?

=$\displaystyle y^1^0^-^6& 10x^1^4^-^4$

Result:$\displaystyle y^4&10x^1^0$

2. ## Re: Product of Quotient

It's entirely correct!

3. ## Re: Product of Quotient

Originally Posted by Siron
It's entirely correct!
Thanks allot had a bit of confusion with the coefficient.

4. ## Re: Product of Quotient

You're welcome!
In general you have to know to important rules to solve exercices like this one.
$\displaystyle a^{x}\cdot a^{y}=a^{x+y}$
$\displaystyle \frac{a^{x}}{a^{y}}=a^{x-y}$