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

Math
(8112-912)2
Simplify each term.
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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.
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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.
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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
Simplify the expression.
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Subtract 3 from 9.
62
Raise 6 to the power of 2.
36
36
Evaluate (81^(1/2)-9^(1/2))^2

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