Let's use the exponent rules to simplify this expression.
\(\left(2x^2\right)^{-4}=2^{-4}\left(x^2\right)^{-4}\) by the power of a product exponent rule.
\(2^{-4}\left(x^2\right)^{-4}=2^{-4}x^{-8}\) by the power of a power exponent rule.
\(2^{-4}x^{-8}=\frac{1}{2^4x^8}\) by the negative power exponent rule.
\(\frac{1}{2^4x^8}=\frac{1}{16x^8}\) This step does not involve an exponent rule but rather this is just simplification.
Let's use the exponent rules to simplify this expression.
\(\left(2x^2\right)^{-4}=2^{-4}\left(x^2\right)^{-4}\) by the power of a product exponent rule.
\(2^{-4}\left(x^2\right)^{-4}=2^{-4}x^{-8}\) by the power of a power exponent rule.
\(2^{-4}x^{-8}=\frac{1}{2^4x^8}\) by the negative power exponent rule.
\(\frac{1}{2^4x^8}=\frac{1}{16x^8}\) This step does not involve an exponent rule but rather this is just simplification.