Q. Simplify. Express your answer using positive exponents. (9q)(5q)(6q7)
Identify Components: Identify the components of the expression (9q)(5q)(6q7). We have three terms: 9q, 5q, and 6q7. We will group the coefficients 9, 5, and 6 and the powers of q together.
Multiply Coefficients: Multiply the coefficients together.Calculate 9×5×6.9×5=4545×6=270The product of the coefficients is 270.
Combine Powers: Combine the powers of q. We have q (which is q1), another q (also q1), and q7. When multiplying powers with the same base, we add the exponents. q1×q1×q7=q(1+1+7)=q9 The combined power of q is q9.
Write Simplified Expression: Write the simplified expression.Combine the product of the coefficients with the combined power of q.(9q)(5q)(6q7)=270×q9The simplified expression is 270q9.
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