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