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Simplify. Express your answer using positive exponents.\newline(6y7)(6y9)(6y^7)(6y^9)

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Q. Simplify. Express your answer using positive exponents.\newline(6y7)(6y9)(6y^7)(6y^9)
  1. Identify Components: Identify the components of the expression that can be combined.\newlineWe have two terms, 6y76y^7 and 6y96y^9, which both contain the variable yy raised to an exponent. We can combine the coefficients (the numbers in front of the variables) and add the exponents of the like bases (yy in this case).
  2. Multiply Coefficients: Multiply the coefficients.\newlineWe multiply the coefficients 66 and 66 together.\newline6×6=366 \times 6 = 36
  3. Add Exponents: Add the exponents of the like bases.\newlineSince we are multiplying two terms with the same base yy, we add the exponents 77 and 99 together.\newliney7×y9=y(7+9)=y16y^7 \times y^9 = y^{(7+9)} = y^{16}
  4. Combine Results: Combine the results from Step 22 and Step 33 to write the simplified expression.\newlineWe have found that 6×6=366 \times 6 = 36 and y7×y9=y16y^7 \times y^9 = y^{16}. Now we combine these results to express the simplified form of the original expression.\newline(6y7)(6y9)=36y16(6y^7)(6y^9) = 36y^{16}

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