Question

simplify the expression?

Answer 1

\[\frac{ 5x^2y }{ 8}* \frac{2x ^{-1}y}{ x^3y }\]

Answer 2

i believe this case would be easier to multiply first and then simplify

Answer 3

multiplication of exponents is just adding

Answer 4

do the top part first

Answer 5

okay so 3xy^2?

Answer 6

you have 5x^2y . 2x^-1y

Answer 7

so 5 x 2 = 10 then x^(2-1) then y^(1-1)

Answer 8

10xy

Answer 9

so you have

10xy^2
--------
8x^3y

Answer 10

sorry I meant y^(1+1) on the y

Answer 11

do you see how I got to that point?

Answer 12

yes, I messed up the equation a little bit that 2 is supposed to be negative making it -10

Answer 13

oh ok then you have the following

-10xy^2
--------
8x^3y

Answer 14

are we good up to there

Answer 15

yes

Answer 16

ok, now to divide exponents you have to subtract, but to make everything positive whatever is negative you bring down
only the digits you simplify as you always done so

-10/8 = -5/4 then you have x^(1-3) and y^(2-1)

Answer 17

so you have -5/4 x^-2 y^1

Answer 18

do you follow what I did ?

Answer 19

yes

Answer 20

the way you right it now is

-5y
------
4x^2

Answer 21

okay, I see. Thank you so much!

Answer 22

you're welcome :)