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Simplify. Express your answer using positive exponents.\newline(9j9)(3j)(9j^9)(3j)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(9j9)(3j)(9j^9)(3j)
  1. Identify and group terms: Step 11: Identify and group similar terms.\newline(9j9)(3j)(9j^9)(3j) can be rewritten by grouping the coefficients and the powers of jj.\newline(9×3)(j9×j1)(9 \times 3)(j^9 \times j^1)
  2. Multiply coefficients: Step 22: Multiply the coefficients.\newline9×3=279 \times 3 = 27
  3. Apply exponent rule: Step 33: Apply the rule of exponents am×an=am+na^m \times a^n = a^{m+n}.j9×j1=j9+1=j10j^9 \times j^1 = j^{9+1} = j^{10}
  4. Combine results: Step 44: Combine the results from steps 22 and 33.\newline27∗j10=27j1027 * j^{10} = 27j^{10}

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