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Simplify. Express your answer using positive exponents.\newline(9q7)(10q)(9q^7)(10q)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(9q7)(10q)(9q^7)(10q)
  1. Identify and group terms: Step 11: Identify and group similar terms.\newline(9q7)(10q)(9q^7)(10q) can be rewritten by grouping the coefficients and the powers of qq.\newline(9×10)×(q7×q)(9 \times 10) \times (q^7 \times q)
  2. Multiply coefficients: Step 22: Multiply the coefficients.\newline9×10=909 \times 10 = 90
  3. Apply power property: Step 33: Apply the product of powers property to simplify q7×qq^7 \times q.\newlineq7×q=q7+1=q8q^7 \times q = q^{7+1} = q^8
  4. Combine results: Step 44: Combine the results from steps 22 and 33.\newline90×q8=90q890 \times q^8 = 90q^8

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