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Simplify. Express your answer using positive exponents.\newline(10n4)(4n4)(5n8)(10n^4)(4n^4)(5n^8)

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Q. Simplify. Express your answer using positive exponents.\newline(10n4)(4n4)(5n8)(10n^4)(4n^4)(5n^8)
  1. Multiply Coefficients: Multiply the coefficients (numbers) together. 10×4×5=40×5=20010 \times 4 \times 5 = 40 \times 5 = 200
  2. Apply Product Rule: Apply the product rule for exponents which states that when multiplying like bases, you add the exponents. n4×n4×n8=n(4+4+8)=n16n^4 \times n^4 \times n^8 = n^{(4+4+8)} = n^{16}
  3. Combine Results: Combine the results from Step 11 and Step 22 to get the final simplified expression. 200×n16200 \times n^{16}

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