%5E2.jpeg "(7x10^3)^2")
Understanding (7 x 10^3)^2
This expression represents the square of 7 multiplied by 10 raised to the power of 3. Let's break it down step-by-step:
Step 1: Simplifying the base
- 7 x 10^3 represents 7 multiplied by 1000 (since 10 raised to the power of 3 equals 1000).
- This gives us 7000.
Step 2: Squaring the simplified base
- Now we need to square 7000, which means multiplying it by itself.
- This results in 49,000,000.
Conclusion
Therefore, (7 x 10^3)^2 equals 49,000,000.
This concept is important in understanding scientific notation and simplifying large numbers. By using exponents, we can express very large or very small numbers in a more concise and manageable way.