Mathematics: Consider the expression (xy)^-2/(3y)^2x^-5 . the equivalent simplified form of this expression is (a.) (x^4)/(9(y^3)) (b.) (x^3)/(9(y^4)) (c.) 1/(9(x^3)(y^4)) (d.) 9/(x^-7)

There is a total of 3 like terms...

Consider the expression (xy)^-2/(3y)^2x^-5 . the

goodschool93

04.01.2022

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

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