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Simplify. Express your answer using a single exponent.\newline(12a4)2(12a^4)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(12a4)2(12a^4)^2
  1. Apply Power Separately: Apply the power to both the coefficient and the variable separately.\newlineWhen raising a power to a power, we multiply the exponents, and when raising a number to a power, we simply calculate the number to that power.\newline(12a4)2=122×(a4)2(12a^4)^2 = 12^2 \times (a^4)^2
  2. Calculate Square of 1212: Calculate the square of 1212. 122=12×12=14412^2 = 12 \times 12 = 144
  3. Multiply Exponents for Variable: Multiply the exponents for the variable aa. (a4)2=a(4×2)=a8(a^4)^2 = a^{(4 \times 2)} = a^8
  4. Combine Results: Combine the results from Step 22 and Step 33. 144×a8144 \times a^8

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