## 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

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

### Final Result

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