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Simplify. Express your answer as a single term using exponents.\newline69666969\frac{696^6}{696^9}

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Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline69666969\frac{696^6}{696^9}
  1. Identify Operation: Step 11: Identify the operation to perform with the exponents.\newlineWhen dividing powers with the same base, we subtract the exponents.\newlineam/an=a(m−n)a^m / a^n = a^{(m - n)}
  2. Apply Rule: Step 22: Apply the rule to the given expression.\newline6966/6969696^6 / 696^9\newline= 696(6−9)696^{(6 - 9)}\newline= 696−3696^{-3}
  3. Simplify: Step 33: Simplify 696−3696^{-3}. This can be rewritten as 1/69631 / 696^3.

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