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Simplify. Express your answer using a single exponent.\newline(t6)5(t^{6})^{5}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(t6)5(t^{6})^{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 (t6)5(t^6)^5. We multiply the exponents 66 and 55. t65=t(6∗5)t^{6^5} = t^{(6*5)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newline6×5=306 \times 5 = 30\newlineSo, (t6)5=t30(t^6)^5 = t^{30}
  4. Write Final Answer: Write the final answer using a single exponent.\newlineThe expression (t6)5(t^6)^5 simplifies to t30t^{30}.

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