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Simplify. Express your answer using a single exponent.\newline(z5)7(z^{5})^{7}

Full solution

Q. Simplify. Express your answer using a single exponent.\newline(z5)7(z^{5})^{7}
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, we multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule.\newline(z5)7=z(5×7)(z^5)^7 = z^{(5 \times 7)}
  3. Perform Multiplication: Perform the multiplication. z5×7=z35z^{5 \times 7} = z^{35}