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

Apply Quotient Rule: Apply the quotient rule for exponents which states that a^(m)/a^(n) = a^(m-n) where a is the base and m and n are the exponents. (6^(7))/(6^(5)) = 6^(7-5)Perform Subtraction: Perform the subtraction in the exponent. 6^(7-5) = 6^(2)Confirm Base Unchanged: Confirm that the base remains unchanged and only the exponents have been subtracted. 6^(2) is indeed a single power of 6.

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Simplify to a single power of 6 :

(6^(7))/(6^(5))
Answer: 6^◻

Simplify to a single power of $6$ : $\newline$ $\frac{6^{7}}{6^{5}}$ $\newline$ Answer: $6 ^\square$

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Precalculus

Operations with rational exponents

Full solution

Q. Simplify to a single power of

6

\newline

\frac{6^{7}}{6^{5}}

\newline

Answer:

6 ^\square

Apply Quotient Rule: Apply the quotient rule for exponents which states that $a^{m}/a^{n} = a^{(m-n)}$ where $a$ is the base and $m$ and $n$ are the exponents. $\newline$ $(6^{7})/(6^{5}) = 6^{(7-5)}$
Perform Subtraction: Perform the subtraction in the exponent. $6^{(7-5)} = 6^{2}$
Confirm Base Unchanged: Confirm that the base remains unchanged and only the exponents have been subtracted. $6^{2}$ is indeed a single power of $6$ .