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Simplify. Express your answer using a single exponent.\newline(7a3)2(7a^3)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(7a3)2(7a^3)^2
  1. Apply Power Rule: Apply the power to a power rule.\newlineWhen raising a power to another power, we multiply the exponents. \newline(7a3)2=72×(a3)2(7a^3)^2 = 7^2 \times (a^3)^2
  2. Calculate 727^2: Calculate 727^2.\newline72=7×7=497^2 = 7 \times 7 = 49
  3. Calculate (a3)2(a^3)^2: Calculate (a3)2(a^3)^2.(a3)2=a(3×2)=a6(a^3)^2 = a^{(3 \times 2)} = a^6
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(7a3)2=72×(a3)2=49×a6(7a^3)^2 = 7^2 \times (a^3)^2 = 49 \times a^6
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression (7a3)2(7a^3)^2 simplifies to 49a649a^6.

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