Q. Simplify. Express your answer using positive exponents.(4q2)(7q)
Identify Components: Identify the components of the expression that can be combined.We have two terms, 4q2 and 7q, which can be multiplied together. We will group the coefficients (4 and 7) and the variables with exponents (q2 and q).
Multiply Coefficients: Multiply the coefficients.Multiply 4 by 7 to get the coefficient for the final expression.4×7=28
Apply Product Rule: Apply the product rule for exponents.When multiplying powers with the same base, we add the exponents. In this case, we have q2 and q, which is the same as q1. So we add the exponents 2 and 1.q2×q1=q(2+1)=q3
Combine Results: Combine the results from Step 2 and Step 3.We have the coefficient 28 from Step 2 and the variable with exponent q3 from Step 3. We combine these to get the final simplified expression.28×q3=28q3
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