Question

Simplify the expression: The picture is down below

Answer 1

Answer:

$\frac{4x^{21}}{y^{11}}$

Step-by-step explanation:

You are going to need to know two properties of exponents.  

$x^a * x^b = x^{a+b}\\\frac{x^a}{x^b}=x^{a-b}$

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.

$8x^9y^8(-2)x^5y^{-9} = -16x^{14}y^{-1}$

so now you have $\frac{-16x^14y^{-1}}{-4x^{-7}y^6}$

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$4x^{21}y^{-7}$

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

$\frac{4x^{21}}{y^{-7}}$