Q. Simplify. Express your answer using positive exponents.(6y7)(6y9)
Identify Components: Identify the components of the expression that can be combined.We have two terms, 6y7 and 6y9, which both contain the variable y raised to an exponent. We can combine the coefficients (the numbers in front of the variables) and add the exponents of the like bases (y in this case).
Multiply Coefficients: Multiply the coefficients.We multiply the coefficients 6 and 6 together.6×6=36
Add Exponents: Add the exponents of the like bases.Since we are multiplying two terms with the same base y, we add the exponents 7 and 9 together.y7×y9=y(7+9)=y16
Combine Results: Combine the results from Step 2 and Step 3 to write the simplified expression.We have found that 6×6=36 and y7×y9=y16. Now we combine these results to express the simplified form of the original expression.(6y7)(6y9)=36y16
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