Dtermine the validity of the expression given below:
$(4 m)^{2} \times (4 n)^{2} = (16 m n)^{2}$

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Solution

Since, $x^{2} y^{2} = (x y)^{2}$

$(4 m)^{2} \times (4 n)^{2} = (4 m \times 4 n)^{2} = (16 m n)^{2}$
Hence, the given expression is valid.

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