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Simplify. Express your answer using a single exponent.\newline(x2)8(x^2)^8

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(x2)8(x^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.\newline(x2)8=x(2⋅8)(x^2)^8 = x^{(2\cdot8)}
  3. Perform Multiplication: Perform the multiplication of the exponents. x2×8=x16x^{2 \times 8} = x^{16}
  4. Write Final Answer: Write the final answer.\newlineThe expression (x2)8(x^2)^8 simplifies to x16x^{16}.

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