%5E3-simplified.jpeg "(5^2)^3 Simplified")
Simplifying (5^2)^3
In mathematics, simplifying expressions is an important skill. Let's break down how to simplify the expression (5^2)^3.
Understanding the Rules of Exponents
The key to simplifying this expression lies in understanding the rules of exponents. Here's the rule we'll use:
Power of a Power Rule: When raising a power to another power, you multiply the exponents. Mathematically, this is represented as: (a^m)^n = a^(m*n)
Applying the Rule
- Identify the exponents: In our expression, we have 5^2 raised to the power of 3.
- Apply the Power of a Power rule: (5^2)^3 = 5^(2*3)
- Simplify: 5^(2*3) = 5^6
Calculating the Final Result
Finally, we need to calculate 5^6:
- 5^6 = 5 * 5 * 5 * 5 * 5 * 5 = 15,625
Conclusion
Therefore, the simplified form of (5^2)^3 is 15,625.