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Simplify. Express your answer using positive exponents.\newline(4j9)(7j)(4j^9)(7j)

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Q. Simplify. Express your answer using positive exponents.\newline(4j9)(7j)(4j^9)(7j)
  1. Identify Components: Identify the components of the expression that can be combined.\newlineWe have two terms, 4j94j^9 and 7j7j, which can be multiplied together. We will group the coefficients (44 and 77) and the variables with exponents (j9j^9 and j1j^1, since jj is the same as j1j^1).
  2. Multiply Coefficients: Multiply the coefficients.\newlineMultiply the numerical coefficients 44 and 77 together.\newline4×7=284 \times 7 = 28
  3. Apply Product Rule: Apply the product rule for exponents.\newlineWhen multiplying powers with the same base, we add the exponents.\newlinej9×j1=j(9+1)=j10j^9 \times j^1 = j^{(9+1)} = j^{10}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineNow we can write the expression in its simplest form by combining the coefficient with the variable and its exponent.\newline(4j9)(7j)=28j10(4j^9)(7j) = 28j^{10}

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