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[tex] ({5})^{ ({ - 2})^{(5)} } \times {5}^{4} = {5}^{ - 2 \times 5} \times {5}^{4} = \\ [/tex]
[tex] {5}^{ - 10} \times {5}^{4} = [/tex]
[tex] {5}^{ - 10 + 4} = {5}^{ - 6} = \frac{1}{ {5}^{6} } \\ [/tex]
Thus the correct answer is Option 1 .
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