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Fully simplify.

4x^(4)y^(2)(-7x^(5)y)
Answer:

Fully simplify.\newline4x4y2(7x5y) 4 x^{4} y^{2}\left(-7 x^{5} y\right) \newlineAnswer:

Full solution

Q. Fully simplify.\newline4x4y2(7x5y) 4 x^{4} y^{2}\left(-7 x^{5} y\right) \newlineAnswer:
  1. Distribute Terms: Distribute the terms by multiplying the coefficients and adding the exponents of like bases.\newlineWe have 4x4y24x^{4}y^{2} multiplied by 7x5y-7x^{5}y. First, multiply the coefficients: 4×7=284 \times -7 = -28.\newlineThen, add the exponents of xx: x4×x5=x4+5=x9x^{4} \times x^{5} = x^{4+5} = x^{9}.\newlineFinally, multiply the yy terms: y2×y=y2+1=y3y^{2} \times y = y^{2+1} = y^{3}.
  2. Combine Results: Combine the results from Step 11 to form the simplified expression.\newlineThe simplified expression is 28x9y3-28x^{9}y^{3}.

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