Understanding the Expression
The expression given is a multiplication of a series of numbers. To simplify it, we can group similar factors together.
Breaking Down the Factors
- The factors can be grouped as follows:
- 2 × 2 × 2 = 2^3 (which is 8)
- 3 × 3 = 3^2 (which is 9)
- 4 × 4 = 4^2 (which is 16)
- 5 × 5 = 5^2 (which is 25)
- 6 × 6 = 6^2 (which is 36)
- 7 × 7 = 7^2 (which is 49)
- 8 × 8 = 8^2 (which is 64)
- 9 × 9 = 9^2 (which is 81)
Calculating the Products
Now, we will calculate the products of these grouped factors:
- 2^3 = 8
- 3^2 = 9
- 4^2 = 16
- 5^2 = 25
- 6^2 = 36
- 7^2 = 49
- 8^2 = 64
- 9^2 = 81
Final Calculation
Now, let's multiply these results together:
- Total = 8 × 9 × 16 × 25 × 36 × 49 × 64 × 81
This multiplication results in a large number. You can use a calculator to find the exact value, as it involves multiple steps.
Conclusion
The expression simplifies to a multiplication of powers and results in a significant product. For detailed problem-solving and practice, resources like EduRev can be invaluable for UPSC preparation.