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Simplify. Express your answer using a single exponent.\newline(t7)6(t^{7})^{6}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(t7)6(t^{7})^{6}
  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)6(t^7)^6.\newlineWe multiply the exponents 77 and 66.\newline(t7)6=t(7∗6)(t^7)^6 = t^{(7*6)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newline7×6=427 \times 6 = 42\newlineSo, (t7)6=t42(t^7)^6 = t^{42}

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