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0=\frac{1}{2}a\times 81^{2}
Multiply 0 and 8 to get 0.
0=\frac{1}{2}a\times 6561
Calculate 81 to the power of 2 and get 6561.
0=\frac{6561}{2}a
Multiply \frac{1}{2} and 6561 to get \frac{6561}{2}.
\frac{6561}{2}a=0
Swap sides so that all variable terms are on the left hand side.
a=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{6561}{2} is not equal to 0, a must be equal to 0.