Question

Please help, I need to complete a bunch of work by tomorrow, please show your work if possible.

Simplify

45m^2n^4
---------------
18m^4n^3


A. 5m^6n^7
-------------
2


B. 5nm^2


C. 5n^2
-------
2 m


D 5n
--------
2m^2

Answer 1

(5n) / m^2

Explanation:

45m^2n^4

---------------

18m^4n^3 may be factored into m, n and constant terms:

45 m^2 n^4

----- * ---------- * -----

18 m^4 n^3

45/18 reduces to 5/2.

m^2 / m^4 reduces to 1 / m^2.

n^4 / n^3 reduces to n. 5n

Multiplying these results together produces: --------

m^2