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There are: 1.1^6 = 1.771561 six decimal places

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Q: How many decimal places will 1.1raise to 6 have?
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The answer depends upon how many decimal places you will assign to pi. Assuming 3.14159 is good enough for your use, the answer would be 18.84954. If your calculations are more critical, you may want to use calculate your answer by assigning more decimal places to pi; pi calculated to 50 decimal places is 3.14159265358979323846264338327950288419716939937510. My calculator will only accept 15 decimal places; in that case pi is 3.141592653589793, multiply that by 6, and the answer is now 18.849555921538758.