Question

Consider the expression (xy)^-2/(3y)^2x^-5 . The equivalent simplified form of this expression is

Answer 1

A (x^4)/(9(y^3)) i would solve the equation with a caculator

Answer 2

Answer:

The simplified form is

$\frac{(xy)^{-2}}{(3y)^2x^{-5}}=\frac{x^3}{9y^4}$

Step-by-step explanation:

$\text{Given the expression }\frac{(xy)^{-2}}{(3y)^2x^{-5}}$

we have to simplify the above expression.

$Expression: \frac{(xy)^{-2}}{(3y)^2x^{-5}}$

$As, x^{-a}=\frac{1}{x^a}$

$\frac{(xy)^{-2}}{(3y)^2x^{-5}}$

$=\frac{x^5}{(xy)^2\times (3y)^2}$

$=\frac{x^3}{9y^4}$

which is the simplified form.

Option B is correct