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Simplify. Express your answer as a single term using exponents.\newline46544654\frac{465^4}{465^4}

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Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline46544654\frac{465^4}{465^4}
  1. Recognize Operation: Recognize the operation to perform with the exponents.\newlineWhen dividing powers with the same base, we subtract the exponents.\newline4654/4654=465(4−4)465^4 / 465^4 = 465^{(4-4)}
  2. Calculate Exponent: Calculate the new exponent.\newline4−4=04 - 4 = 0\newlineSo, 4654/4654=4650465^4 / 465^4 = 465^0
  3. Simplify Result: Simplify 4650465^0.\newlineAny number to the power of zero is 11.\newlineTherefore, 4650=1465^0 = 1

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