Question

Simplify the expression. Picture provided. Please help.

Answer 1

Answer: $\frac{x^{11}y^6}{9}$

Step-by-step explanation:

Remember the following:

- The Product of powers property:

$a^m*a^n=a^{m+n}$

- The Quotient of powers property:

$\frac{a^m}{a^n}=a^{m-n}$

- And the Negative exponent rule:

$\frac{1}{a}=a^{-1}$

Therefore, having the expression $\frac{(3x^2y^{-3})}{27(xy)^{-9}}$, you can simplify it by applying the properties mentioned before.

Then, you get:

$\frac{(3x^2y^{-3})}{27(xy)^{-9}}=\frac{(3x^2)x^9y^{9}}{27(y)^{3}}=\frac{3x^{11}y^6}{27}=\frac{x^{11}y^6}{9}$