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Write in exponential notation:

(8^(3))/(8^(5))

Write in exponential notation:\newline8385 \frac{8^{3}}{8^{5}}

Full solution

Q. Write in exponential notation:\newline8385 \frac{8^{3}}{8^{5}}
  1. Identify Rule: Identify the rule for dividing powers with the same base.\newlineWhen dividing powers with the same base, subtract the exponents: am/an=a(mn)a^m / a^n = a^{(m-n)}.
  2. Apply Rule: Apply the rule to the given expression.\newline(83)/(85)=8(35)(8^{3})/(8^{5}) = 8^{(3-5)}.
  3. Calculate Exponent: Calculate the exponent. 35=23 - 5 = -2.
  4. Write Final Answer: Write the final answer in exponential notation.\newline835=828^{3-5} = 8^{-2}.

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