Answer:
[tex]\frac{4x^{21}}{y^{11}}[/tex]
Step-by-step explanation:
You are going to need to know two properties of exponents.
[tex]x^a * x^b = x^{a+b}\\\frac{x^a}{x^b}=x^{a-b}[/tex]
Also know that a*b = b*a, so youc an change the order of multiplication.
Since everything is being multiplied in the numerator, and there is only multiplication, it's actually super easy to start. Just multiply everything.
[tex]8x^9y^8(-2)x^5y^{-9} = -16x^{14}y^{-1}[/tex]
so now you have [tex]\frac{-16x^14y^{-1}}{-4x^{-7}y^6}[/tex]
Again, since the numerator and denominator only have multiplication you can divide part by part. so the number divides the number, the x term divides the term and the y term divides the y term
-16/-4 = 4
x^14 / x^-7 = x^21
y^-1 / y^6 = y^-7
So all together that makes[tex]4x^{21}y^{-7}[/tex]
The final step in simplifying is making all negative powers into fractions. Sometimes non whole numbers can be made into roots. Definitely make negative powers fractions though
[tex]\frac{4x^{21}}{y^{-7}}[/tex]
