(a^2)^1/2

Jasonbradley

less than a minute read

·

Jun 16, 2024

9

Share

Understanding (a^2)^1/2

The expression (a^2)^1/2 might seem complex at first glance, but it can be simplified using the basic rules of exponents. Let's break down the process:

Understanding the Exponents

• a^2: This represents 'a' multiplied by itself, or a * a.
• ( )^1/2: This represents the square root of the expression inside the parentheses.

Simplifying the Expression

Using the rule of exponents that states (x^m)^n = x^(m*n), we can simplify the expression:

1. (a^2)^1/2 = a^(2 * 1/2)

2. a^(2 * 1/2) = a^1

3. a^1 = a

Conclusion

Therefore, (a^2)^1/2 is equal to 'a'. This demonstrates how seemingly complicated expressions can be simplified by applying the fundamental rules of exponents.