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Simplify (4m^3 + 36 m^2n) x mn^2/3 by using distributive law?
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Simplify (4m^3 + 36 m^2n) x mn^2/3 by using distributive law?



Step-by-Step Solution:

  1. Distribute the terms:
    To simplify the expression (4m^3 + 36m^2n) * mn^2/3, we need to distribute the terms inside the parentheses to both terms outside the parentheses.

  2. Apply distributive property:
    When we distribute, we multiply each term inside the parentheses by each term outside the parentheses.
    So, we get: 4m^3 * mn^2/3 + 36m^2n * mn^2/3

  3. Simplify each term:
    Now, simplify each term separately.
    4m^3 * mn^2/3 = 4m^(3+1) * n^(2/3) = 4m^4 * n^(2/3)
    36m^2n * mn^2/3 = 36m^(2+1) * n^(1+2/3) = 36m^3 * n^(5/3)

  4. Combine the simplified terms:
    Now, we can combine the simplified terms: 4m^4 * n^(2/3) + 36m^3 * n^(5/3)


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Simplify (4m^3 + 36 m^2n) x mn^2/3 by using distributive law?
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