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Answer :
The value of the given numerical expression is 1/25. Answer: 1 over 25.
When we have an expression with a power raised to another power, we can simplify it by multiplying the exponents. In this case, the expression is (5^(-4))^1/2, which means we have 5 raised to the power of -4 and then that result raised to the power of 1/2.
Using the exponent rule mentioned above, we can multiply -4 and 1/2 as follows:
(5^(-4))^1/2 = 5^(-4 * 1/2) = 5^(-2)
So, we get 5 raised to the power of -2.
Now, any number raised to a negative power can be rewritten as 1 divided by the number raised to the positive power. Therefore, we can write 5^(-2) as 1/5^2, which simplifies to 1/25.
Hence, the value of the given numerical expression is 1/25.
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