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Answer :
Final answer:
To evaluate the numerical expression (5^-4)^0.5, we first compute 5^-4 which equals 1/625, then take its square root to find the final result, which is 1/25.
Explanation:
The problem here involves evaluating a numerical expression: (5^-4)^0.5. The exponent rule for this type of problem is power of a power, where we multiply the exponents. We start by evaluating 5^-4, which gives 1/625. Then, we take the square root of this result since ^0.5 is equivalent to the square root. Taking the square root of 1/625 will give us 1/25 which makes the answer c. 1/25.
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