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Evaluate. Write your answer as a whole number or as a simplified fraction.\newline8482=□\frac{8^4}{8^2}=\square

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline8482=□\frac{8^4}{8^2}=\square
  1. Recognize Properties of Exponents: Recognize the properties of exponents.\newlineWhen dividing powers with the same base, subtract the exponents.\newline(84)/(82)=8(4−2)(8^{4})/(8^{2}) = 8^{(4-2)}
  2. Divide Powers with Same Base: Perform the subtraction of the exponents. 84−2=828^{4-2} = 8^2
  3. Perform Subtraction of Exponents: Calculate the value of 828^2. 82=8×8=648^2 = 8 \times 8 = 64

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