Question

Express the area of a rectangle with length 11y^4 and width y^2 as a monomial

Answer 1

Answer:
`11y^(6)`

Explanation:

• A monomial is a kind of algebraic expression having only one term.

For ex :
`3x\ , 4b\ ,\ 6x^2y` etc.

We know that ,

Area of rectangle = Length of rectangle x width of rectangle.

We are given that ,

Length of rectangle
`=11y^4`

Width of rectangle
`=y^2`

Then,

Area of rectangle =
`=11y^4*y^2`

Using identity ,

`a^m* a^n=a^(m+n)`

we have

Area of rectangle =
`=11y^(4+2)`

⇒ Area of rectangle =
`=11y^(6)`

Hence, the area of a rectangle
`=11y^(6)` [which is a monomial]