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ankoles [38]
3 years ago
6

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

Mathematics
2 answers:
AVprozaik [17]3 years ago
6 0
A (x^4)/(9(y^3)) i would solve the equation with a caculator
storchak [24]3 years ago
6 0

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

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