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A=\frac{6^{2}}{2\times 9}
Cancel out 4\times 7\times 7\times 7 in both numerator and denominator.
A=\frac{36}{2\times 9}
Calculate 6 to the power of 2 and get 36.
A=\frac{36}{18}
Multiply 2 and 9 to get 18.
A=2
Divide 36 by 18 to get 2.