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Simplify. Express your answer using a single exponent.\newline(t3)8(t^{3})^{8}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(t3)8(t^{3})^{8}
  1. Identify operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, you multiply the exponents.
  2. Apply exponent rule: Apply the exponent rule (t3)8(t^3)^8. We multiply the exponents 33 and 88. (t3)8=t(3∗8)(t^3)^8 = t^{(3*8)}
  3. Perform multiplication: Perform the multiplication of the exponents.\newline3×8=243 \times 8 = 24\newlineSo, (t3)8=t24(t^3)^8 = t^{24}

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