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Simplify. Express your answer using positive exponents.\newline(4y7)(6y5)(4y^7)(6y^5)

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Q. Simplify. Express your answer using positive exponents.\newline(4y7)(6y5)(4y^7)(6y^5)
  1. Identify Components: Identify the components of the expression that can be combined.\newlineWe have two terms, 4y74y^7 and 6y56y^5, which can be multiplied together. We will group the coefficients (44 and 66) and the variables with exponents (y7y^7 and y5y^5).
  2. Multiply Coefficients: Multiply the coefficients.\newlineCalculate the product of the coefficients 44 and 66.\newline4×6=244 \times 6 = 24
  3. Apply Product Rule: Apply the product rule for exponents.\newlineWhen multiplying powers with the same base, we add the exponents.\newliney7×y5=y(7+5)=y12y^7 \times y^5 = y^{(7+5)} = y^{12}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineNow we can write the simplified expression by combining the coefficient with the variable raised to the new exponent.\newline(4y7)(6y5)=24y12(4y^7)(6y^5) = 24y^{12}

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