What is the area of this rectangle? provide supportive evidence so i can learn better about this. i’m having troubles.

the answer is 15x^8 y^3

Step-by-step 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