To find the product of the two expressions, 2xy and 5xy³, we will simply multiply them together.
First, we can rewrite the multiplication as:
(2xy) * (5xy³)
Now, we can multiply the coefficients (the numeric parts) together, which are 2 and 5:
2 * 5 = 10
Next, we multiply the variable parts. We have:
- x from the first expression and x from the second expression, which gives us x².
- y from the first expression and y³ from the second expression, which gives us y⁴.
Putting it all together, we combine our results:
The final product is: 10x²y⁴