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Simplify. Express your answer using a single exponent.\newline(t7)9(t^{7})^{9}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(t7)9(t^{7})^{9}
  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 (t7)9(t^7)^9. We multiply the exponents 77 and 99. t79=t(7∗9)t^{7^9} = t^{(7*9)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newlineCalculate 77 multiplied by 99.\newline7×9=637 \times 9 = 63
  4. Write Final Answer: Write the final answer using the single exponent. t7×9=t63t^{7\times9} = t^{63}

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