149k views
4 votes
Multiply the following monomials: (5x)(6xy)
A) 30x²y
B) 11xy
C) 30x²y²
D) 11x²y

User Somk
by
8.7k points

1 Answer

2 votes

Final answer:

The multiplication of the monomials (5x)(6xy) is correctly carried out by multiplying the coefficients to get 30 and adding the exponents of x to get x². The result is 30x²y, which matches option A).

Step-by-step explanation:

The question involves multiplication of monomials. To multiply (5x)(6xy), we can follow the rule of multiplication of exponentials: multiply the digit terms and add the exponents of the exponential terms. Here, we multiply the coefficients 5 and 6 to get 30. Then, we add the exponents of x, since x± times x± has an exponent of 2 when combining like terms. The y variable already has an exponent of 1 and it will remain as such because there's only one y term.

The correct multiplication of the monomials (5x)(6xy) is 30x²y, which corresponds to option A).

User Sunny Gupta
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories