QuestionApril 14, 2026

Multiply and simplify. 6xy^3zcdot 3x^2yx^2 9x^5y^4z 18(xyz)^10 18x^5y^4z 18x^4y^3z

Multiply and simplify. 6xy^3zcdot 3x^2yx^2 9x^5y^4z 18(xyz)^10 18x^5y^4z 18x^4y^3z
Multiply and simplify. 6xy^3zcdot 3x^2yx^2 9x^5y^4z 18(xyz)^10 18x^5y^4z 18x^4y^3z

Solution
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Answer

18x^{5}y^{4}z Explanation 1. Multiply coefficients 6 \cdot 3 = 18 2. Combine x exponents x^{1} \cdot x^{2} \cdot x^{2} = x^{1+2+2} = x^{5} 3. Combine y exponents y^{3} \cdot y^{1} = y^{3+1} = y^{4} 4. Combine z terms Only one z, so z^{1} remains.

Explanation

1. Multiply coefficients <br /> $6 \cdot 3 = 18$ <br /><br />2. Combine $x$ exponents <br /> $x^{1} \cdot x^{2} \cdot x^{2} = x^{1+2+2} = x^{5}$ <br /><br />3. Combine $y$ exponents <br /> $y^{3} \cdot y^{1} = y^{3+1} = y^{4}$ <br /><br />4. Combine $z$ terms <br /> Only one $z$, so $z^{1}$ remains.
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