The expression given is (−6xy2)2\left(-6 x y^{2}\right)^{2}(−6xy2)2. According to the power of a product rule, (ab)n=anbn(ab)^n = a^n b^n(ab)n=anbn, we apply the exponent to each factor inside the parentheses:
(−6xy2)2=(−6)2⋅(x)2⋅(y2)2 \left(-6 x y^{2}\right)^{2} = (-6)^{2} \cdot (x)^{2} \cdot (y^{2})^{2} (−6xy2)2=(−6)2⋅(x)2⋅(y2)2
Now, simplify each term separately:
Combine the simplified terms to get the final expression:
36⋅x2⋅y4=36x2y4 36 \cdot x^{2} \cdot y^{4} = 36x^{2}y^{4} 36⋅x2⋅y4=36x2y4
36x2y4 \boxed{36x^{2}y^{4}} 36x2y4
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