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Evaluate. Write your answer as a whole number or as a simplified fraction.\newline6765=\frac{6^7}{6^5}= _____

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline6765=\frac{6^7}{6^5}= _____
  1. Use Exponent Property: To simplify the expression (67)/(65)(6^{7})/(6^{5}), we use the property of exponents that states when dividing like bases, we subtract the exponents.\newlineCalculation: 67−5=626^{7-5} = 6^2
  2. Calculate 626^2: Now, we calculate the value of 626^2.\newlineCalculation: 62=6×6=366^2 = 6 \times 6 = 36

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