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.