Q. Simplify. Express your answer using positive exponents.(4y7)(6y5)
Identify Components: Identify the components of the expression that can be combined.We have two terms, 4y7 and 6y5, which can be multiplied together. We will group the coefficients (4 and 6) and the variables with exponents (y7 and y5).
Multiply Coefficients: Multiply the coefficients.Calculate the product of the coefficients 4 and 6.4×6=24
Apply Product Rule: Apply the product rule for exponents.When multiplying powers with the same base, we add the exponents.y7×y5=y(7+5)=y12
Combine Results: Combine the results from Step 2 and Step 3.Now we can write the simplified expression by combining the coefficient with the variable raised to the new exponent.(4y7)(6y5)=24y12
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