Question

Can someone please help me simplify this..

6x^2 v^9*2y^-1 x^-9*5v^-9 y

Answer 1

Hello, do you know the first step to simplifying?

Answer 2

\[6x^2v^9*2y^{-1}x^{-9}*5v^{-9}y\]
Correct?

Answer 3

I would recombine that as
\[(6*2*5)*(v^9*v^{-9})*(x^2*x^{-9})*(y^{-1}*y)\]
Use the law of multiplication for exponents with common bases: \[u^a*u^b = u^{a+b}\]to do some more simplification. Don't forget that \(u^1 = u\) and \(u^0 = 1\)

Answer 4

Would my answer be \[\frac{ 60 }{ x ^{7}y} \]

Answer 5

@whpalmer4

Answer 6

Not quite...

Answer 7

6*2*5 = 60, that part is right
the v terms combine to = 1
the x terms combine to = x^-7
have another look at the "Don't forget" comment when contemplating the value of the y terms