Find the cube root of 81: 3^√81 .(1 point) Responses 9 9 81−−√3 root index 3 start root 81 end root 27 27 −9

1 answer

To find the expression \( 3^{\sqrt{81}} \):

  1. Calculate \( \sqrt{81} \): \[ \sqrt{81} = 9 \]

  2. 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.