Question

Need help asap please

Answer 1

The answer is
`8x^(3) y`.

The given question should be solved using the appropriate law of indices. Thus given:

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

Multiply the bracket considering the related terms, we have;

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

(2*4) = 8

(
`x^(2)`*x) =
`x^(3)`

(
`y^(3)`*
`y^(-2)`) =
`y^(1)`

Therefore it can be concluded that;

`(2x^(2) y^(3) )`
`(4xy^(-2) )` = 8*
`x^(3)` *
`y^(1)`

=
`8x^(3) y`