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Simplify. Express your answer using a single exponent. \newline(12d7)2(12d^7)^2

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Q. Simplify. Express your answer using a single exponent. \newline(12d7)2(12d^7)^2
  1. Apply Power Separately: Apply the power to both the coefficient and the variable separately.\newlineWhen raising a power to a power, we distribute the exponent to both the coefficient and the variable. \newline(12d7)2=122×(d7)2(12d^7)^2 = 12^2 \times (d^7)^2
  2. Calculate Coefficient Square: Calculate the square of the coefficient 1212. \newline122=12×12=14412^2 = 12 \times 12 = 144
  3. Apply Exponent to Variable: Apply the exponent to the variable with the existing exponent.\newlineWhen raising a power to another power, we multiply the exponents.\newline(d7)2=d(7×2)=d14(d^7)^2 = d^{(7 \times 2)} = d^{14}
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the final simplified expression.\newline(12d7)2=144d14=144d14(12d^7)^2 = 144 * d^{14} = 144d^{14}