Question

Which two of the following expressions can be simlified by using the Quotient of Powers Property?

Answer 1

`(15x^(4)y^(3))/(5x^(3)) \ \ \text{and }\ -10x^(5)/ 2x^(3)y`

Explanation:

the Quotient of Powers Property :

let a be a number where a ≠ 0

`(a^m)/(a^n) = a^(m-n)`

……………………

`(15x^(4)y^(3))/(5x^(3))`

`= (3 * 5x^(3)* x * y^(3))/(5x^(3))`

`= (3 * x * y^(3))/(1)`

`= 3 x y^(3)`

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`-10x^(5)/ 2x^(3)y`

`= [-5 * (2x^(3)) * x^2] / [(2x^(3)) * y]`

`= -5 * x^2 / y`

`= -5 x^2 / y`