(7x10^3)^2

less than a minute read Jun 16, 2024
(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.