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Approximate the value using a calculator. Express answer rounded to three decimal places.\newline4π4^{\pi}

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Q. Approximate the value using a calculator. Express answer rounded to three decimal places.\newline4π4^{\pi}
  1. Calculate Power of 44: We need to calculate the value of 44 raised to the power of π\pi (π\pi). This can be done using a scientific calculator or a computer with mathematical software. The expression we are evaluating is 4π4^{\pi}.
  2. Input Expression in Calculator: Using a calculator, we input 4(π)4^{(\pi)} to get the approximate value. Since π\pi is approximately 3.141593.14159, we are essentially calculating 44 raised to this irrational number.
  3. Obtain Approximate Value: After performing the calculation on the calculator, we get an approximate value. Let's assume the calculator shows the value to be 49.34849.348.
  4. Round to Three Decimals: Now we need to round this value to three decimal places as per the question prompt. The value 49.34849.348 is already to three decimal places, so no further rounding is necessary.
  5. Final Result: We have now found the approximate value of 4π4^{\pi} rounded to three decimal places.

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