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5 votes
What is the product of -8x^7 and -2xy^3

2 Answers

4 votes

Answer:


-8x^7(-2xy^3) = 16x^8y^3

Explanation:

Multiplication rules

  • negative * negative = positive
  • negative * positive = negative
  • positive * positive = positive

Exponent multiplication rule


  • a^n * a^m = a^(n+m)

Multiplying two terms with variables

  • multiply the coefficients (the numbers next to the variables) and the variables

We need to utilize these 3 key points (⭐) when multiplying to terms with variables.

First, let's multiply the coefficients:

-8 * -2 = 16

  • negative * negative = positive

Next, let's multiply the variables:


x^7 * xy^3

These two variables have the same base (x), so we will add their exponents up.

* remember: if you see a variable without an exponent, it has an exponent of 1 *


x^7 * x = x^8


  • a^n * a^m = a^(n+m)

The variable
y^3 will stay the same because there is no other y variable.

=
x^8y^3

Now, "attach" the variables to the product of the coefficients:

=
16x^8y^3

User Vo
by
7.7k points
4 votes

Answer:

16x^8y^3

Explanation:

Simplify the expression.

User Carson Cole
by
8.0k points

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