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Fully simplify. 12x^(3)y(x^(4)y^(2)) Answer:

Fully simplify.\newline12x3y(x4y2) 12 x^{3} y\left(x^{4} y^{2}\right) \newlineAnswer:

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Full solution

Q. Fully simplify.\newline12x3y(x4y2) 12 x^{3} y\left(x^{4} y^{2}\right) \newlineAnswer:
  1. Apply distributive property: Apply the distributive property to multiply the terms inside the parentheses by the term outside.\newline12x3y×x4y2=12×x3+4×y1+212x^{3}y \times x^{4}y^{2} = 12 \times x^{3+4} \times y^{1+2}
  2. Add exponents: Add the exponents for the xx terms and the yy terms since we are multiplying like bases.\newline12×x7×y312 \times x^{7} \times y^{3}
  3. Write final expression: Write the final simplified expression. 12x7y312x^{7}y^{3}

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