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Simplify. Express your answer using positive exponents.\newline(3m8)(6m)(3m^8)(6m)

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Q. Simplify. Express your answer using positive exponents.\newline(3m8)(6m)(3m^8)(6m)
  1. Identify Components: Identify the components of the expression that can be combined.\newlineWe have two terms, 3m83m^8 and 6m6m, which can be multiplied together. We will group the coefficients (33 and 66) and the variables with their exponents (m8m^8 and m1m^1, since mm is the same as m1m^1).
  2. Multiply Coefficients: Multiply the coefficients.\newlineMultiply the numerical coefficients 33 and 66 together.\newline3×6=183 \times 6 = 18
  3. Apply Product Rule: Apply the product rule for exponents.\newlineWhen multiplying powers with the same base, we add the exponents.\newlinem8×m1=m(8+1)=m9m^8 \times m^1 = m^{(8+1)} = m^9
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineNow we combine the coefficient from Step 22 with the variable and its exponent from Step 33.\newline18×m9=18m918 \times m^9 = 18m^9

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