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Simplify. Express your answer using positive exponents.\newline(6j)(8j)(6j9)(6j)(8j)(6j^9)

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Simplify exponential expressions using the multiplication and division rulesright chevron icon

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Q. Simplify. Express your answer using positive exponents.\newline(6j)(8j)(6j9)(6j)(8j)(6j^9)
  1. Group coefficients and powers: Step 11: Group the coefficients and the powers of jj.(6j)(8j)(6j9) (6j)(8j)(6j^9) can be rewritten as (6×8×6)×(j×j×j9) (6 \times 8 \times 6) \times (j \times j \times j^9) .
  2. Calculate product of coefficients: Step 22: Calculate the product of the coefficients. 6×8×66 \times 8 \times 6 equals 48×648 \times 6 which equals 288288.
  3. Combine powers of j: Step 33: Combine the powers of j.\newlineUsing the rule of exponents ja×jb=j(a+b)j^a \times j^b = j^{(a+b)}, we get j×j×j9=j(1+1+9)=j11j \times j \times j^9 = j^{(1+1+9)} = j^{11}.
  4. Write final simplified expression: Step 44: Write the final simplified expression.\newlineCombining the results from steps 22 and 33, we have 288×j11=288j11.288 \times j^{11} = 288j^{11}.

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