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\frac{6^{9}}{6^{6}}
To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.
6^{3}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 9 to get 3.
216
Calculate 6 to the power of 3 and get 216.