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Simplify. Express your answer using a single exponent.\newline(t2)5(t^{2})^{5}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(t2)5(t^{2})^{5}
  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 (t2)5(t^2)^5. We multiply the exponents 22 and 55. (t2)5=t(2∗5)(t^2)^5 = t^{(2*5)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newline2×5=102\times5 = 10\newlineSo, (t2)5=t10(t^2)^5 = t^{10}

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