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(25x^2)^1/2 In Radical Form

less than a minute read Jun 16, 2024
(25x^2)^1/2 In Radical Form

Simplifying (25x^2)^1/2 in Radical Form

The expression (25x^2)^1/2 represents the square root of 25x^2. We can simplify this expression by applying the properties of exponents and radicals.

Breaking down the expression

  • Exponent Rule: (a^m)^n = a^(mn) Applying this rule, we can rewrite the expression as: 25^(1/2) * x^(2(1/2)).

  • Radical Rule: a^(1/n) = n√a Using this rule, we get: √25 * x^(2/2).

Simplifying further

  • Square Root: √25 = 5
  • Exponent: x^(2/2) = x^1 = x

Final Solution

Combining the simplified terms, the expression (25x^2)^1/2 in radical form becomes 5x.

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