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Answer :
Final answer:
The value of 1/5 raised to the power of negative 5 is 3125. The negative exponent inverts the fraction before being raised to the positive value of that exponent. Thus, the answer is A. 3125.
Explanation:
The mathematical concept at work here is exponents, specifically, negative exponents. The expression in question is 1/5 raised to the power of negative 5. Raising a fraction to a negative exponent simply inverts the fraction and then raises it to the positive value of that exponent. In this case, 1/5 becomes 5/1, or simply '5'. Then, since our exponent is 5, we take '5' to the fifth power. Thus,
55 = 5 x 5 x 5 x 5 x 5 = 3125.
So, the value of 1/5 to the power of negative 5 is 3125. Hence, the answer is A. 3125.
Learn more about Negative Exponents here:
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