simplify

[latresa31s]

if (5x^2y^3/z^-4w)^-2 was simplified would the answer be

w^2/25x^4y^6z^8

 

[Denis]

if (5x^2y^3/z^-4w)^-2 was simplified would the answer be
w^2/25x^4y^6z^8

YES!

rule: (a/b)^-p = (b/a)^p

so: [(5 x^2 y^3) / (z^-4 w)]^-2 = [(z^-4 w) / (5 x^2 y^3)]^2

rule: a^-p = 1 / a^p : a power's sign changes if moved above or below division sign

so: [(z^-4 w) / (5 x^2 y^3)]^2 = [w / (5 x^2 y^3 z^4)]^2

now square that to get: w^2 / (25 x^4 y^6 z^8) : follow that?

 

[latresa31s]

Thanks I have one more if you don't mind looking at.

Write the equation of the line that passes through (2, – 4) and (– 4, 5).

would I use the formula y=mx + b.

I am not sure.

 

[Gene]

Yes, but in the form
y-y1=m(x-x1)
where m = (y1-y2)/(x1-x2) =
(-4-5)/(2-(-4)) =
-9/6 =
-3/2
(y-(-4))=(-3/2)(x-2) =
y+4=(-3/2)x+3
y=(-3/2)x-1

 

[latresa31s]

Thanks alot. I would have never figured that one out.