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Simplify. Express your answer using a single exponent.\newline(w7)2(w^{7})^{2}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(w7)2(w^{7})^{2}
  1. Identify Operation for Exponentiation: Identify the operation needed for the exponentiation of an exponent.\newlineWhen raising a power to a power, you multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule (w7)2=w(7∗2)(w^7)^2 = w^{(7*2)}. Calculate the new exponent by multiplying 77 by 22.
  3. Perform Multiplication: Perform the multiplication to find the new exponent.\newline7×2=147 \times 2 = 14\newlineSo, (w7)2=w14(w^7)^2 = w^{14}.

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