(p^2)^6

Jasonbradley

2 min read

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Jun 16, 2024

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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:

1. Identify the base and exponents: Our base is 'p', and we have two exponents: 2 and 6.
2. Apply the power of a power rule: (p^2)^6 = p^(2*6)
3. Simplify: p^(2*6) = p^12

Conclusion

Therefore, the simplified form of (p^2)^6 is p^12.