(25x^6)^1/2

Jasonbradley

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Jun 16, 2024

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Simplifying (25x^6)^1/2

This expression represents the square root of 25x^6. Let's break it down step-by-step:

Understanding the Properties

• Exponent Rule: (a^m)^n = a^(m*n)
• Square Root Rule: √a = a^(1/2)

Simplifying the Expression

1. Apply the exponent rule: (25x^6)^1/2 = 25^(1/2) * x^(6 * (1/2))
2. Simplify the exponents: 25^(1/2) * x^(6 * (1/2)) = 25^(1/2) * x^3
3. Calculate the square root: 25^(1/2) = 5
4. Final Result: 5 * x^3 = 5x^3

Therefore, the simplified form of (25x^6)^1/2 is 5x^3.