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Simplify. Express your answer using a single exponent.\newline(y2)8(y^2)^8

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(y2)8(y^2)^8
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, you multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule (y2)8(y^2)^8. We multiply the exponents 22 and 88. (y2)8=y(2∗8)(y^2)^8 = y^{(2*8)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newliney2×8=y16y^{2\times 8} = y^{16}

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