Q. Simplify. Express your answer using positive exponents.(3m8)(6m)
Identify Components: Identify the components of the expression that can be combined.We have two terms, 3m8 and 6m, which can be multiplied together. We will group the coefficients (3 and 6) and the variables with their exponents (m8 and m1, since m is the same as m1).
Multiply Coefficients: Multiply the coefficients.Multiply the numerical coefficients 3 and 6 together.3×6=18
Apply Product Rule: Apply the product rule for exponents.When multiplying powers with the same base, we add the exponents.m8×m1=m(8+1)=m9
Combine Results: Combine the results from Step 2 and Step 3.Now we combine the coefficient from Step 2 with the variable and its exponent from Step 3.18×m9=18m9
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