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Simplify. Express your answer using positive exponents. \newline(9n6)(8n)(9n^6)(8n)

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Q. Simplify. Express your answer using positive exponents. \newline(9n6)(8n)(9n^6)(8n)
  1. Identify Components: Identify the components of the expression that can be combined.\newlineWe have two terms, 9n69n^6 and 8n8n, which can be multiplied together. We will group the coefficients (99 and 88) and the powers of nn (n6n^6 and n1n^1, since nn is the same as n1n^1).
  2. Multiply Coefficients: Multiply the coefficients.\newlineMultiply 99 by 88 to get the coefficient for the final expression.\newline9×8=729 \times 8 = 72
  3. Apply Product Rule: Apply the product rule for exponents.\newlineWhen multiplying powers with the same base, we add the exponents.\newlinen6×n1=n(6+1)=n7n^6 \times n^1 = n^{(6+1)} = n^7
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the final simplified expression.\newlineThe final expression is the product of the coefficient found in Step 22 and the power of nn found in Step 33.\newline72×n7=72n772 \times n^7 = 72n^7

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