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

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

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Answer 1 · 2017-05-05T15:24:25

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: $3 x y^{2}$ $3xy^2$
Because 6 $\div$ $divide$ 2=3
$x^{5} - x^{4} = x$ $x^5-x^4=x$
= $3 x$ $3x$
$y^{6} - y^{4}$ $y^6-y^4$ = $y^{2}$ $y^2$
Therefore
$= 3 x y^{2}$ $=3xy^2$
Hope you understand it and this is what you are looking for!

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

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