(5x^2)^3 Answer

less than a minute read Jun 16, 2024
(5x^2)^3 Answer

Simplifying (5x^2)^3

In mathematics, simplifying expressions often involves applying the rules of exponents. One such rule states that (a^m)^n = a^(m*n). Let's use this rule to simplify the expression (5x^2)^3.

Applying the Exponent Rule

  1. Identify the base and exponents: In the expression (5x^2)^3, the base is (5x^2) and the exponent is 3.
  2. Apply the rule: According to the rule, we multiply the exponents: (5x^2)^3 = 5^(23) * x^(23)
  3. Simplify: This simplifies to 5^6 * x^6

Final Result

Therefore, (5x^2)^3 simplifies to 15625x^6.

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