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Fully simplify.

-3x^(5)y^(4)(2y^(3))
Answer:

Fully simplify.\newline3x5y4(2y3) -3 x^{5} y^{4}\left(2 y^{3}\right) \newlineAnswer:

Full solution

Q. Fully simplify.\newline3x5y4(2y3) -3 x^{5} y^{4}\left(2 y^{3}\right) \newlineAnswer:
  1. Identify Terms: Identify the terms to be multiplied in the expression 3x5y4(2y3)-3x^{5}y^{4}(2y^{3}). We have a constant 3-3, a term with xx x5x^{5}, and two terms with yy y4y^{4} and 2y32y^{3}.
  2. Multiply Constants and Like Terms: Multiply the constants and the like terms separately.\newlineFirst, multiply the constants 3-3 and 22 to get 6-6.\newlineThen, since the bases are the same for the yy terms, add the exponents 44 and 33 to get y(4+3)y^{(4+3)}.
  3. Combine Results: Combine the results from the previous step.\newlineWe have 6-6 from the constants, x5x^{5} from the xx term, and y7y^{7} from the yy terms.\newlineSo, the expression becomes 6x5y7-6x^{5}y^{7}.

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