Question

Which expression is equivalent to (4x^3y^5)(3x^5y)?

24x13y7
36x13y7
36x2848
144x16 y 12

Answer 1

`144 x^(16) +y^(12)`

Explanation:

`(4*x^(3)y^(5)  )(3*x^(5) y)`

`4*3* x^(3+5) *y^(5+1)`

`2^(2) *3*x^(8) *y^(6)`

Then:

`144*x^(16) *y^(12)`

`2^(4) *3^(2) *x^(8) *x^(8) *y^(6) *y^(6)`

`(2^(2) * 3 * x^(8) * y^(6) )^(2)`