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Fully simplify.

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

Fully simplify.\newline3x4(2x4y2) 3 x^{4}\left(-2 x^{4} y^{2}\right) \newlineAnswer:

Full solution

Q. Fully simplify.\newline3x4(2x4y2) 3 x^{4}\left(-2 x^{4} y^{2}\right) \newlineAnswer:
  1. Distribute and Multiply: Distribute the 3x43x^{4} across the expression (2x4y2)(-2x^{4}y^{2}). To do this, we multiply the coefficients (3(3 and 2)-2) and add the exponents of like bases (x4(x^{4} and x4)x^{4}). Calculation: 3×2=63 \times -2 = -6 and x4×x4=x8x^{4} \times x^{4} = x^{8} (since when multiplying like bases, we add the exponents). The y2y^{2} term remains unchanged because there is no yy term in the first part of the expression to combine it with.
  2. Calculate Result: Write down the simplified expression.\newlineAfter distributing, we have 6x8y2-6x^{8}y^{2}.\newlineThis is the simplified form of the expression since there are no like terms to combine and no further simplification is possible.

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