(8112-912)2

Rewrite 81 as 92.

((92)12-912)2

Apply the power rule and multiply exponents, (am)n=amn.

(92(12)-912)2

Cancel the common factor of 2.

Cancel the common factor.

(92(12)-912)2

Rewrite the expression.

(91-912)2

(91-912)2

Evaluate the exponent.

(9-912)2

Rewrite 9 as 32.

(9-(32)12)2

Apply the power rule and multiply exponents, (am)n=amn.

(9-32(12))2

Cancel the common factor of 2.

Cancel the common factor.

(9-32(12))2

Rewrite the expression.

(9-31)2

(9-31)2

Evaluate the exponent.

(9-1⋅3)2

Multiply -1 by 3.

(9-3)2

(9-3)2

Subtract 3 from 9.

62

Raise 6 to the power of 2.

36

36

Evaluate (81^(1/2)-9^(1/2))^2