Question

What is the area of this rectangle ?
Answer choices are in the picture

Answer 1

D)
`15x^8y^3`

Explanation:

Area = Length * Breadth

Area =
`5x^6y^2*3x^2y`

Apply exponent rule:
`a^b*a^c=a^(b+c)`

Therefore,

Area =
`5x^(6+2)y^2* \:3y`

Area =
`5x^8y^2*3y`

Apply exponent rule as mentioned above:

Area =
`5x^8y^(2+1)* \:3`

Area =
`5x^8y^3*3`

Multiply 3:

`15x^8y^3`