%5E1%2F2.jpeg "(25x^2)^1/2")
Simplifying (25x^2)^1/2
The expression (25x^2)^1/2 represents the square root of 25x^2. Here's how to simplify it:
Understanding the Properties of Exponents
- Product of Powers: (a^m)^n = a^(m*n)
- Square Root Property: √a = a^(1/2)
Applying the Properties
- Rewrite the exponent: (25x^2)^1/2 = 25^(1/2) * x^(2*1/2)
- Simplify: 25^(1/2) * x^(2*1/2) = 5x
Conclusion
Therefore, the simplified form of (25x^2)^1/2 is 5x.