Question
much as possibl \( \left(6 x y z^{4}\right)\left(5 x y^{3}\right) \)
Ask by Pierce Medina. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Multiply the coefficients and add the exponents: \(30x^2y^4z^4\).
Solution
Calculate or simplify the expression \( (6*x*y*z^4)*(5*x*y^3) \).
Simplify the expression by following steps:
- step0: Solution:
\(6xyz^{4}\times 5xy^{3}\)
- step1: Multiply the numbers:
\(30xyz^{4}xy^{3}\)
- step2: Multiply the terms:
\(30x^{2}yz^{4}y^{3}\)
- step3: Multiply the terms:
\(30x^{2}y^{4}z^{4}\)
The product of \(6xyz^4\) and \(5xy^3\) is \(30x^2y^4z^4\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To simplify the expression \( \left(6 x y z^{4}\right)\left(5 x y^{3}\right) \), you multiply the coefficients and then the variables separately. First, multiply the coefficients: \( 6 \times 5 = 30 \). Next, combine the variables: - For \( x \): \( x \cdot x = x^{2} \) - For \( y \): \( y \cdot y^{3} = y^{4} \) - \( z^{4} \) remains as is since there is no \( z \) in the second term. Putting it all together, you get \( 30 x^{2} y^{4} z^{4} \). Therefore, the simplified expression is \( 30 x^{2} y^{4} z^{4} \).
