Question

(-5m4np3)(-8mnp5) multiply a monomial by a rm of the distributive property

Answer 1

To multiply two monomials (-5m⁴np³) and (-8mnp⁵), multiply the coefficients to get 40 and add the exponents of like bases resulting in the final answer of 40m⁵n²p⁸.

Step-by-step explanation:

The question requires the multiplication of two monomials using the distributive property. The monomials in question are (-5m4np3) and (-8mnp5). To multiply these, first, multiply the coefficients (-5 and -8) and then apply the laws of exponents to the variables with the same base by adding their exponents.

Step-by-step multiplication:

1. Multiply the coefficients: (-5) × (-8) = 40
2. Add the exponents of like bases: m4 × m = m(4+1) = m5, p3 × p5 = p(3+5) = p8
3. Combine the n terms: n × n = n(1+1) = n2
4. Combine the results: The final answer is 40m5n2p8

By following these steps, we get the product of the two monomials using the distributive property.