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).