To multiply the monomials (-5xy') and (6x²y5), you can use the following formula:
(ax^m)(by^n) = abx^(m+n)y^(m+n)
Where:
- a and b are constants
- x and y are variables
- m and n are the exponents of x and y, respectively
- Plugging in the values for a, b, m, and n, you get:
(-5xy')(6x²y5) = (-5)(6)x^(1+2)y^(1+5)
This simplifies to:
(-5xy')(6x²y5) = (-30)x^3y^6
So, the product of (-5xy') and (6x²y5) is (-30)x^3y^6, which is option (d).