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Solve for x^x if x = 4^-2
Published on August 29, 2024
Algebra
This problem asks to find the value of x^x, given that x = 4^-2. The solution involves simplifying x, applying exponent properties, and calculating the final result, which is 1/√[4]2 or approximately 0.8409.
Question
Answer
Let’s approach this problem step by step:
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We’re given that
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We need to find
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Let’s first simplify
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Now, we need to calculate
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To solve this, we can use the property of exponents:
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In this case, we can rewrite our expression as:
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Now, let’s calculate this:
Therefore,