Express \(\left(-\frac{1}{5}\right)^{-4} \times \left(-\frac{1}{25}\right)^{-2} \times \left(-\frac{1}{2}\right)^{-6} \times \left(-\frac{1}{4}\right)^{-3} \) as a power of product of rational numbers with positive exponent.

1
\(\left(5 \right)^{-8} \times \left(- 2 \right)^{12}\)
2
\(\left(5 \right)^{-8} \times \left( 2 \right)^{-12}\)
3
\(\left(25 \right)^{4} \times \left( 4 \right)^{12}\)
4
\(-\left(5 \right)^{8} \times \left( 2 \right)^{12}\)

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