Q. Simplify. Express your answer using positive exponents. (9n6)(8n)
Identify Components: Identify the components of the expression that can be combined.We have two terms, 9n6 and 8n, which can be multiplied together. We will group the coefficients (9 and 8) and the powers of n (n6 and n1, since n is the same as n1).
Multiply Coefficients: Multiply the coefficients.Multiply 9 by 8 to get the coefficient for the final expression.9×8=72
Apply Product Rule: Apply the product rule for exponents.When multiplying powers with the same base, we add the exponents.n6×n1=n(6+1)=n7
Combine Results: Combine the results from Step 2 and Step 3 to write the final simplified expression.The final expression is the product of the coefficient found in Step 2 and the power of n found in Step 3.72×n7=72n7
More problems from Simplify exponential expressions using the multiplication rule