To find the expression \( 3^{\sqrt{81}} \):
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Calculate \( \sqrt{81} \): \[ \sqrt{81} = 9 \]
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Now substitute \( \sqrt{81} \) into the expression: \[ 3^{\sqrt{81}} = 3^9 \]
Now we can also calculate \( 3^9 \): \[ 3^9 = 19683 \]
However, if the problem is about the cube root of 81, we would express it as follows: \[ \sqrt[3]{81} = \sqrt[3]{3^4} = 3^{4/3} = 3^{1.3333...} \]
This does not simplify neatly to any of the integers listed like 9, 27, etc. The expression and answers given seem a bit confused between cube root and the previous exponent calculation.
Please confirm what specific calculation you'd like, whether it's the cube root of 81, or any specific value derivation.