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Simplify. Express your answer using positive exponents.\newline(5n6)(4n)(5n^6)(4n)

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Q. Simplify. Express your answer using positive exponents.\newline(5n6)(4n)(5n^6)(4n)
  1. Identify Components: Identify the components of the expression that can be combined.\newlineWe have two terms, 5n65n^6 and 4n4n, which can be multiplied together. We will group the coefficients (55 and 44) 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 55 by 44 to get the new coefficient.\newline5×4=205 \times 4 = 20
  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.\newlineWe have the new coefficient, 2020, and the combined power of nn, which is n7n^7.\newline20×n7=20n720 \times n^7 = 20n^7

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