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Simplify. Express your answer as a single term using exponents.\newline82538258\frac{825^3}{825^8}

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Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline82538258\frac{825^3}{825^8}
  1. Identify Operation: Identify the operation to perform with the exponents.\newlineWhen dividing powers with the same base, we subtract the exponents.\newline8253/8258=825(3−8)825^3 / 825^8 = 825^{(3-8)}
  2. Subtract Exponents: Simplify the expression by subtracting the exponents. 8253−8=825−5825^{3-8} = 825^{-5}
  3. Simplify Expression: Express the negative exponent as a reciprocal. 825−5=18255825^{-5} = \frac{1}{825^5}

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