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Simplify. Express your answer using positive exponents.\newline(9v5)(9v)(9v^5)(9v)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(9v5)(9v)(9v^5)(9v)
  1. Identify and group terms: Step 11: Identify and group similar terms.\newline(9v5)(9v)=(9×9)×(v5×v)(9v^5)(9v) = (9 \times 9) \times (v^5 \times v)
  2. Calculate coefficients product: Step 22: Calculate the product of the coefficients.\newline9×9=819 \times 9 = 81
  3. Apply exponent rule: Step 33: Apply the rule of exponents for multiplication (add the exponents). \newlinev5×v=v(5+1)=v6v^5 \times v = v^{(5+1)} = v^6
  4. Combine results: Step 44: Combine the results from steps 22 and 33.\newline81×v6=81v681 \times v^6 = 81v^6

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