Question

6^9 / 6^3 Please simplify I need help

Answer 1

Answer: 6^6

Step-by-step explanation: Formula - (a^b)/(a^c) = a^(b-c)

keeping the formula in mind;

= 6^9/6^3= 6^(9-3)

= 6^6

Answer 2

6^6

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 ...

`(6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6)/(6\cdot6\cdot6)=6\cdot6\cdot6\cdot6\cdot6\cdot6=6^6`

Note that the 3 instances of 6 in the denominator cancel 3 from the numerator. Clearly, the effect is the same as subtracting exponents.