Answer:
the answer is 15x^8 y^3
Explanation:
the area of a rectangle is length times width right? this means you have to multiply the values that represent the length and width. in this case those values would be 5x^6 y^2 and 3x^2 y
step 1. set up your problem
it should look like this:
(5x^6 y^2)(3x^2 y)
step 2. multiply the values with corresponding variables
first, x values
(5x^6)(3x^2)
5×3=15 and x^6 × x^2=x^8 when multiplying exponents you add the powers the numbers are raised to. in this case 6+2=8
you should end up with 15x^8
next, y values
y^2 + y
remember what i said about multiplying exponents? you just add the power the variables are raised to. in this case, 2 and 1. when their is no exponent we just add a 1. so, 2+1=3
you end up with y^3
lastly, combine
15x^8 + y^3 = 15x^8y^3