Question

Simplify: 2x^-4/3xy

A.) 4y^2
B.) 4x^3y^2/3
C.) 4/x^3y^6
D.) 2/3x^5y

Answer 1

`(2x^(-4))/(3xy)=(2)/(3x^5y)`

Explanation:

Simplify: 2x^-4/3xy

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

To simplify it we use exponential property

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

we can simplify x

`(x^(-4))/(x^1) =x^(-4-1)=x^(-5)`

`(2x^(-4))/(3xy)=(2x^(-5))/(3y)`

Now we take reciprocal to remove negative. we move x^-5 to the denominator

`(2x^(-4))/(3xy)=(2)/(3x^5y)`