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Evaluate. Write your answer as a whole number or as a simplified fraction.\newline6664=\frac{6^6}{6^4} = _____

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline6664=\frac{6^6}{6^4} = _____
  1. Perform Exponent Operation: 66/646^6 / 6^4\newlineWhat operation should we perform with the exponents, 66 and 44?\newlineWhen we divide powers with the same base, we subtract the exponents.\newlineam/an=a(m−n)a^m / a^n = a^{(m - n)}
  2. Rewrite as Single Power: 66/646^6 / 6^4\newlineRewrite this expression as a single power of 66.\newlineSubtract the exponents.\newline66/646^6 / 6^4\newline= 66−46^{6 - 4}\newline= 626^2
  3. Simplify Exponent: Simplify 626^2.\(6^2\)=6×6= 6 \times 6=36= 36

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