When you have
4xy^3 * 2x^2y * 5xy^2
Would you add the first number and then add the powers?
11x^4y^6 ???
Thank you
multiply, multiply, multiply
4*2*5 * x1+2+1 y3+1+2
You got the powers right, but the coefficent is 40
To simplify the expression 4xy^3 * 2x^2y * 5xy^2, you can follow the multiplication rules for exponents.
First, multiply the coefficients: 4 * 2 * 5 = 40.
Next, multiply the variables with the same base (x and y) by adding their exponents:
For x: x^1 * x^2 * x^1 = x^(1+2+1) = x^4.
For y: y^3 * y^1 * y^2 = y^(3+1+2) = y^6.
Combining these results, the simplified expression becomes 40x^4y^6.