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Simplify the following:$ \left(2 x^{-2} y^{3}\right)^{3} $
Given:
\( \left(2 x^{-2} y^{3}\right)^{3} \)
To do:
We have to simplify the given expression.
Solution:
We know that,
$(a^{m})^{n}=a^{m n}$
$a^{m} \times a^{n}=a^{m+n}$
Therefore,
$(2 x^{-2} y^{3})^{3}=2^{3} \times x^{-2 \times 3} \times y^{3 \times 3}$
$=8 \times x^{-6} \times y^{9}$
$=8 x^{-6} y^{9}$
Hence, $(2 x^{-2} y^{3})^{3}=8 x^{-6} y^{9}$.
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