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Simplify. Express your answer using a single exponent.\newline(12x9)2(12x^9)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(12x9)2(12x^9)^2
  1. Apply Power Separately: Apply the power to both the numerical coefficient and the variable separately.\newlineWhen raising a power to a product, we distribute the exponent to each factor within the product.\newline(12x9)2=(12)2×(x9)2(12x^9)^2 = (12)^2 \times (x^9)^2
  2. Calculate (12)2(12)^2: Calculate (12)2(12)^2.(12)2=12×12=144(12)^2 = 12 \times 12 = 144
  3. Calculate (x9)2(x^9)^2: Calculate (x9)2(x^9)^2.\newlineWhen raising a power to another power, we multiply the exponents.\newline(x9)2=x(9×2)=x18(x^9)^2 = x^{(9 \times 2)} = x^{18}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(12x9)2=(12)2×(x9)2=144x18(12x^9)^2 = (12)^2 \times (x^9)^2 = 144x^{18}

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