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Simplify. Express your answer using a single exponent.\newline(x6)8(x^{6})^{8}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(x6)8(x^{6})^{8}
  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 (xa)b=xa∗b(x^a)^b = x^{a*b}.\newlineHere, we have (x6)8(x^6)^8, so we multiply the exponents 66 and 88.\newline(x6)8=x6∗8(x^6)^8 = x^{6*8}
  3. Perform Multiplication: Perform the multiplication of the exponents. x6×8=x48x^{6\times8} = x^{48}

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