3-simplified.jpeg "(3x2)3 Simplified")
Simplifying (3x²)^3
This expression involves exponents and parentheses, requiring us to apply the rules of exponents. Let's break down the simplification step by step:
Understanding the Exponent 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: (3x²)^3 = 3^3 * (x²)^3
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Apply the power of a power rule: 3^3 * (x²)^3 = 27 * x^(2*3)
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Simplify: 27 * x^(2*3) = 27x^6
Therefore, the simplified form of (3x²)^3 is 27x^6.