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Simplify. Express your answer as a single term using exponents.\newline68076809\frac{680^7}{680^9}

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Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline68076809\frac{680^7}{680^9}
  1. Identify Operation: Step 11: Identify the operation to perform with the exponents, 77 and 99.\newlineWhen dividing powers with the same base, we subtract the exponents.\newlineam/an=a(m−n)a^m / a^n = a^{(m - n)}\newlineCalculation: 6807/6809=680(7−9)680^7 / 680^9 = 680^{(7 - 9)}
  2. Perform Calculation: Step 22: Simplify the expression by subtracting the exponents.\newlineCalculation: 680(7−9)=680−2680^{(7 - 9)} = 680^{-2}

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