25=(1/5)^-2
25 = (1/5)^-2
25 = 1/(1/5)^2
25 = 1/(1/25)
25 = 1 * 25/1
25 = 25
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To understand this equation, let's break it down step by step:
1. The equation is: 25 = (1/5)^(-2)
2. The expression (1/5)^(-2) represents a fraction raised to a negative power. To simplify it, we need to understand the concept of negative exponents.
3. When a number is raised to a negative exponent, it means that the reciprocal of that number is being raised to the positive exponent.
4. In this case, (1/5)^(-2) is equivalent to (5/1)^2.
5. By squaring (5/1)^2, we get (5/1) * (5/1) = 25/1.
6. Simplifying further, 25/1 can be written as just 25.
Therefore, the equation 25 = (1/5)^(-2) is true since both sides of the equation are equal to 25.