Whether you're a student or a professional, IDNLearn.com has answers for everyone. Ask anything and receive comprehensive, well-informed responses from our dedicated team of experts.

If a =
-5x and b = 3x – 4i, then find the value of the a^3b in fully simplified form. (Please help)


Sagot :

The expression -5x is a monomial, while 3x - 4i is a complex number

The simplified form of the expression a^3b is -375x^4 - 500x^3i

How to determine the product

The given parameters are:

a = -5x

b = 3x - 4i

The value of the expression a^3b is calculated as follows:

[tex]a^3b = (-5x)^3 * (3x - 4i)[/tex]

Evaluate the exponent

[tex]a^3b = -125x^3 * (3x - 4i)[/tex]

Open the bracket

[tex]a^3b = -375x^4 - 500x^3i[/tex]

Hence, the simplified form of the expression a^3b is -375x^4 - 500x^3i

Read more about simplified expressions at:

https://brainly.com/question/723406