Final answer:
The result of 5 to the power of 9 divided by 5 to the power of 6 is 5 to the power of 3, which is equal to 125.
Step-by-step explanation:
The question asks to find the result of 5 to the power of 9 divided by 5 to the power of 6. When dividing numbers with the same base, the exponents are subtracted. Therefore, we calculate this by subtracting the exponent in the denominator from the exponent in the numerator.
5 to the power of 9 divided by 5 to the power of 6 can be written as:
59 / 56 = 59-6 = 53
The result is 5 to the power of 3, or 125.