Question

What is the area of a rectangle 6x to the third power y by 5 xy cm

Answer 1

The area of a rectangle is equal to length times width.

Mathematically, $A_{rect}=l*w$.

We can arbitrarily choose one expression for length and one for width; the result is the same.

Let's say that $6x^3y$ cm is the length, and $5xy$ cm is the width.

We simply write $(6x^3y)(5xy)=30x^4y^2 \ cm^2$.

I am assuming you did not mean to write $6x^{3y}$ for the first dimension.