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6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to power 22 ÷(3.84 × 10 raise to power 8) power 2?please help?
Most Upvoted Answer
6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to po...
Step 1: Organize the Expression
The expression to evaluate is:
6.7 × 10^(-11) × 6 × 10^(24) × 7.4 × 10^(22) ÷ (3.84 × 10^(8))^2
Step 2: Simplify Each Part
- Numerator Calculation:
- Combine the coefficients:
- 6.7 × 6 × 7.4
- Combine the powers of ten:
- 10^(-11) × 10^(24) × 10^(22)
- Denominator Calculation:
- Square the coefficient and the power of ten:
- (3.84^2) × (10^(8))^2
Step 3: Calculate the Coefficients
- Numerator Coefficients:
- 6.7 × 6 = 40.2
- 40.2 × 7.4 = 296.88
- Denominator Coefficient:
- 3.84^2 = 14.7456
Step 4: Combine Powers of Ten
- Numerator Powers:
- 10^(-11 + 24 + 22) = 10^(35)
- Denominator Powers:
- (10^(8))^2 = 10^(16)
Step 5: Final Expression
Combine the results:
(296.88 × 10^(35)) ÷ (14.7456 × 10^(16))
Step 6: Divide Coefficients and Subtract Exponents
- Coefficients:
- 296.88 ÷ 14.7456 ≈ 20.13
- Powers of Ten:
- 10^(35 - 16) = 10^(19)
Final Result
The final answer is approximately:
20.13 × 10^(19)
This can also be represented in scientific notation as:
2.013 × 10^(20)
The expression to evaluate is:
6.7 × 10^(-11) × 6 × 10^(24) × 7.4 × 10^(22) ÷ (3.84 × 10^(8))^2
Step 2: Simplify Each Part
- Numerator Calculation:
- Combine the coefficients:
- 6.7 × 6 × 7.4
- Combine the powers of ten:
- 10^(-11) × 10^(24) × 10^(22)
- Denominator Calculation:
- Square the coefficient and the power of ten:
- (3.84^2) × (10^(8))^2
Step 3: Calculate the Coefficients
- Numerator Coefficients:
- 6.7 × 6 = 40.2
- 40.2 × 7.4 = 296.88
- Denominator Coefficient:
- 3.84^2 = 14.7456
Step 4: Combine Powers of Ten
- Numerator Powers:
- 10^(-11 + 24 + 22) = 10^(35)
- Denominator Powers:
- (10^(8))^2 = 10^(16)
Step 5: Final Expression
Combine the results:
(296.88 × 10^(35)) ÷ (14.7456 × 10^(16))
Step 6: Divide Coefficients and Subtract Exponents
- Coefficients:
- 296.88 ÷ 14.7456 ≈ 20.13
- Powers of Ten:
- 10^(35 - 16) = 10^(19)
Final Result
The final answer is approximately:
20.13 × 10^(19)
This can also be represented in scientific notation as:
2.013 × 10^(20)
Community Answer
6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to po...
4.386(approx)
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6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to power 22 ÷(3.84 × 10 raise to power 8) power 2?please help?
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6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to power 22 ÷(3.84 × 10 raise to power 8) power 2?please help? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to power 22 ÷(3.84 × 10 raise to power 8) power 2?please help? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to power 22 ÷(3.84 × 10 raise to power 8) power 2?please help?.
6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to power 22 ÷(3.84 × 10 raise to power 8) power 2?please help? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to power 22 ÷(3.84 × 10 raise to power 8) power 2?please help? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6.7 ×10 raise to power -11 ×6×10 raise to power 24×7.4 ×10 raise to power 22 ÷(3.84 × 10 raise to power 8) power 2?please help?.
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