Simplifying (3a^3)^2 Without Exponents
This expression involves exponents and can be simplified by understanding the rules of exponents.
Understanding the Rules
- Power of a product: (ab)^n = a^n * b^n
- Power of a power: (a^m)^n = a^(m*n)
Simplifying the Expression
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Apply the power of a product rule: (3a^3)^2 = 3^2 * (a^3)^2
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Apply the power of a power rule: 3^2 * (a^3)^2 = 9 * a^(3*2)
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Simplify the exponent: 9 * a^(3*2) = 9 * a^6
Final Result
Therefore, (3a^3)^2 simplified without exponents is 9a^6.