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^(23) * x^(23)
- Simplify: This simplifies to 5^6 * x^6
Final Result
Therefore, (5x^2)^3 simplifies to 15625x^6.