Question

Simplify the expression. Picture provided. Please help.

Answer 1

Answer:
`(x^(11)y^6)/(9)`

Explanation:

Remember the following:

- The Product of powers property:

`a^m*a^n=a^(m+n)`

- The Quotient of powers property:

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

- And the Negative exponent rule:

`(1)/(a)=a^(-1)`

Therefore, having the expression
`((3x^2y^(-3)))/(27(xy)^(-9))`, you can simplify it by applying the properties mentioned before.

Then, you get:

`((3x^2y^(-3)))/(27(xy)^(-9))=((3x^2)x^9y^(9))/(27(y)^(3))=(3x^(11)y^6)/(27)=(x^(11)y^6)/(9)`