First, let's simplify the numerator:
(7^-3)^7 x 7^20 = 7^(-21) x 7^20 = 7^(-21 + 20) = 7^-1
Now, let's simplify the denominator:
6^-2 = 1 / 6^2 = 1 / 36
Therefore, the expression simplifies to:
7^-1 / 1/36
To divide by a fraction, we multiply by the reciprocal:
7^-1 x 36/1
7^-1 = 1 / 7^1 = 1/7
So the expression simplifies to:
(1/7) x (36/1) = 36/7
(7^-3)^7 x 7^20
/
6^-2
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