SOLUTION: use positive exponents.show all wok 30x^6y^2 ---------- 45x^-1y Top part is the numerator ----------- ------- bottom is denominator.

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Question 966121: use positive exponents.show all wok
30x^6y^2
----------
45x^-1y

Top part is the numerator
-------------------
bottom is denominator.

Found 2 solutions by Theo, Alan3354:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!


the multiplication symbols have been inserted where i think they belong.
this makes it easiwer to see what's going on from my perspective.
you are free to put them in or take them out at your discretion.

30*x^6*y^2
----------
45*x^-1*y

the x^-1 in the denominator goes to the numerator and becomes x^1 which becomes x.

the expression becomes:

30*x^6*y^2*x
----------
45*y

x^6 * x in the numerator becomes x^7.

the expression becomes:

30*x^7*y^2
----------
45*y

y^2 in the numerator divided by y in the denominator becomes y^1 in the numerator which becomes y.

the expression becomes:

30*x^7*y
----------
45

30 in the numerator divided by 45 in the denominator simplifies to 2 in the numerator divided by 3 in the denominator.

the expression becomes:

2*x^7*y
----------
3

you can confirm that you did it correctly by giving any value to x and any value to y and then evaluatiing the original equation and the final equation to see if the answers are the same.

i used x = 5 and y = 9

from the original equation, i get:

30*x^6*y^2
----------
45*x^-1*y

becomes:

30*5^6*9^2
----------
45*5^-1*9

this evaluates to 37968750 / 81 which becomes 468750.

from the final equation, i get:

2*x^7*y
------
3

becomes:

2*5^7*9
------
3

this evaluates to 1406250 / 3 which becomes 468750.

the original equation and the final equation give me the same answer, so i assume that i did the simplification correctly.

your solution is:

2*x^7*y
------
3

this can also be shown as:

2x^7y
------
3








Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
use positive exponents.show all wok

Multiply NUM and DEN by x

Divide NUM and DEN by y
=
Divide by 15
=

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