Question

4x2y. 2x3y• 3xy2 is equivalent to:

a. 9x6y2
b. 9x6y4
C. 12xy10
d. 24x6y2
e. 24x6y4
041

Answer 1

Option e.
`24x^(6)y^(4)`

Explanation:

we know that

When multiply powers of the same base, add the exponents together

we have

`(4x^(2) y)(2x^(3)y)(3xy^(2))`

Group terms that contain the same variable

`(4*2*3)(x^(2)*x^(3)*x)(y*y*y^(2))`

`(24)(x^(2+3+1))(y^(2+1+1))`

`(24)(x^(6))(y^(4))`

`24x^(6)y^(4)`