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Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or 1000 raised to the power 3.?
Most Upvoted Answer
Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or...
The correct answer is 3^1000 or 3 raised to the power 1000 because 3^1000 is 205891132094649 where as 1000^3 is 1000000000.
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Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or...
Comparison of 3^1000 and 1000^3
Introduction: In this problem, we need to compare two large numbers, 3 raised to the power 1000 and 1000 raised to the power 3.
Method 1: Using a calculator
We can use a calculator to find the value of 3^1000 and 1000^3. By doing so, we get:
3^1000 = 5.15377521 × 10^477
1000^3 = 1,000,000,000
Method 2: Using logarithms
We can also use logarithms to compare the two numbers. We know that:
log(3^1000) = 1000 log 3 ≈ 477.122
log(1000^3) = 3 log 1000 = 9
Since 477.122 > 9, we can conclude that 3^1000 is greater than 1000^3.
Explanation:
The value of 3 raised to the power 1000 is much greater than 1000 raised to the power 3. This is because 3 is being raised to a much larger power than 1000, making the result much larger. As a general rule, exponentiation grows much faster than multiplication, so a number raised to a large power will be much larger than the same number multiplied by itself several times.
Conclusion: In conclusion, we can say that 3^1000 is greater than 1000^3.
Introduction: In this problem, we need to compare two large numbers, 3 raised to the power 1000 and 1000 raised to the power 3.
Method 1: Using a calculator
We can use a calculator to find the value of 3^1000 and 1000^3. By doing so, we get:
3^1000 = 5.15377521 × 10^477
1000^3 = 1,000,000,000
Method 2: Using logarithms
We can also use logarithms to compare the two numbers. We know that:
log(3^1000) = 1000 log 3 ≈ 477.122
log(1000^3) = 3 log 1000 = 9
Since 477.122 > 9, we can conclude that 3^1000 is greater than 1000^3.
Explanation:
The value of 3 raised to the power 1000 is much greater than 1000 raised to the power 3. This is because 3 is being raised to a much larger power than 1000, making the result much larger. As a general rule, exponentiation grows much faster than multiplication, so a number raised to a large power will be much larger than the same number multiplied by itself several times.
Conclusion: In conclusion, we can say that 3^1000 is greater than 1000^3.
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Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or 1000 raised to the power 3.?
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Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or 1000 raised to the power 3.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or 1000 raised to the power 3.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or 1000 raised to the power 3.?.
Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or 1000 raised to the power 3.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or 1000 raised to the power 3.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one is greater ? 3^1000 or 1000^3. 3 raised to the power 1000 or 1000 raised to the power 3.?.
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