Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Place the indicated product in the proper location on the grid.

-4x^3 y^2(7xy^4)

Answer 1

To find the product of -4x^3 y^2 and 7xy^4, multiply the coefficients and add the exponents of the same variables. The resulting expression is -28x^4y^6.

Step-by-step explanation:

The question asks us to multiply two algebraic expressions: -4x^3 y^2 and 7xy^4. When multiplying these, we need to apply the associative property of multiplication, combining like terms. For the coefficients, simply multiply -4 by 7, which yields -28.

For the variables, add the exponents of the same base according to the laws of exponents. The variable x has exponents 3 and 1, which sum to 4, while the variable y has exponents 2 and 4, which sum to 6. Placing the product in the correct position on the grid would result in the expression -28x^4y^6.