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Simplify to a single power of 6 : (6^(7))/(6^(5)) Answer: 6^◻

Simplify to a single power of 66 :\newline6765 \frac{6^{7}}{6^{5}} \newlineAnswer: 6□ 6 ^\square

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Full solution

Q. Simplify to a single power of 66 :\newline6765 \frac{6^{7}}{6^{5}} \newlineAnswer: 6□ 6 ^\square
  1. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineThe quotient rule states that when dividing two powers with the same base, you subtract the exponents.\newlineSo, (67)/(65)=6(7−5)(6^{7})/(6^{5}) = 6^{(7-5)}.
  2. Perform Subtraction: Perform the subtraction of the exponents. 7−5=27 - 5 = 2. So, 67−5=626^{7-5} = 6^2.
  3. Write Final Expression: Write the final simplified expression.\newlineThe expression simplifies to 626^2.

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