25w^6 30w^2
-------- / -------- first simplify each fraction. They both reduce by a factor of 5. for the variables,
10w^3 5w dividing means subtracting exponents
5w^6-3 6w^2-1
--------- / --------- next, simplify the subtraction, then flip the second fraction and change the division to
2 1 multiplication
5w^3 1
------- * -------- multiply across both top and bottom to get
2 6w^1
5w^3
------- now subtract exponents again: 3-1=2
12w^1
5w^2
-------
12
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