Question

How do you simplify `\frac { 6x ^ { 5} y ^ { 6} } { 2x ^ { 4} y ^ { 4} }`?

Answer 1

See below

Explanation:

First you have to divide like normally 6 by 2 as the line between the two numbers is a devision line. You then need to subtract the powers because this is the rule of the indices. When you multiply a number with powers - multiply the number and add powers. For this you do the opposite. Divide the number and take away the powers so: `3xy^2`
Because 6 `divide`2=3
`x^5-x^4=x`
= `3x`
`y^6-y^4`=`y^2`
Therefore
`=3xy^2`
Hope you understand it and this is what you are looking for!