%5E6.jpeg "(p^2)^6")
Simplifying (p^2)^6
In mathematics, simplifying expressions is a key skill. Today, we'll explore how to simplify the expression (p^2)^6.
Understanding Exponent Rules
To simplify this expression, we need to understand the rules of exponents:
- Product of powers: When multiplying powers with the same base, you add the exponents. For example, x^m * x^n = x^(m+n).
- Power of a power: When raising a power to another power, you multiply the exponents. For example, (x^m)^n = x^(m*n).
Applying the Rules
Let's apply these rules to our expression:
- Identify the base and exponents: Our base is 'p', and we have two exponents: 2 and 6.
- Apply the power of a power rule: (p^2)^6 = p^(2*6)
- Simplify: p^(2*6) = p^12
Conclusion
Therefore, the simplified form of (p^2)^6 is p^12.