(3a^2)^3 Simplified

Jasonbradley

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Jun 16, 2024

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Simplifying (3a^2)^3

This expression involves both exponents and parentheses, which means we need to apply the rules of exponents carefully.

Understanding the Rules

• Power of a product: (ab)^n = a^n * b^n
• Power of a power: (a^m)^n = a^(m*n)

Applying the Rules

1. Apply the power of a product rule: (3a^2)^3 = 3^3 * (a^2)^3

2. Apply the power of a power rule: 3^3 * (a^2)^3 = 27 * a^(2*3)

3. Simplify: 27 * a^(2*3) = 27a^6

Conclusion

Therefore, the simplified form of (3a^2)^3 is 27a^6.