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, $(2 x^{-2} y^{3})^{3}=8 x^{-6} y^{9}$.