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Simplify. Express your answer using a single exponent.\newline(n8)8(n^{8})^{8}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(n8)8(n^{8})^{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 (na)b=na∗b(n^a)^b = n^{a*b}.\newlineHere, we have (n8)8(n^8)^8, so we multiply the exponents 88 and 88.\newline(n8)8=n8∗8(n^8)^8 = n^{8*8}
  3. Perform Multiplication: Perform the multiplication of the exponents. n8×8=n64n^{8\times8} = n^{64}

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