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Simplify. Express your answer using positive exponents.\newline(6a)(5a7)(6a)(5a^7)

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline(6a)(5a7)(6a)(5a^7)
  1. Multiply and Combine Bases: Multiply the coefficients and combine the like bases with their exponents.\newline(6a)(5a7)=(6×5)(a1×a7)(6a)(5a^7) = (6 \times 5)(a^1 \times a^7)
  2. Calculate Coefficients: Calculate the product of the coefficients.\newline6×5=306 \times 5 = 30
  3. Add Exponents: Add the exponents of aa.a1×a7=a(1+7)=a8a^{1} \times a^{7} = a^{(1+7)} = a^{8}
  4. Combine Results: Combine the results to form the final expression. 30×a8=30a830 \times a^8 = 30a^8

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