Answer:
6^6
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
In this problem, that means ...
(6^9)/(6^3) = 6^(9-3) = 6^6
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It can help to remember that an exponent signifies repeated multiplication. Written out without exponents, the problem is ...
[tex]\dfrac{6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6}{6\cdot6\cdot6}=6\cdot6\cdot6\cdot6\cdot6\cdot6=6^6[/tex]
Note that the 3 instances of 6 in the denominator cancel 3 from the numerator. Clearly, the effect is the same as subtracting exponents.
