Question

The expression can be rewritten as

Answer 1

81^3/4

Which happens to be 27.

Answer 2

27

Explanation:

`(\sqrt[4]{81})^3`

The rule to convert radical form into exponential form is

`(\sqrt[n]{x})^m = x ^(m)/(n)`

First we write the given radical form in exponential form

`(\sqrt[4]{81})^3=81^(3)/(4)`

81 = 3*3*3*3= 3^4

Replace 81 with 3^4

`(\sqrt[4]{81})^3=(3^4)^(3)/(4)`

Now we simplify the exponent, multiply 4 and 3/4

`(\sqrt[4]{81})^3=(3^4)^(3)/(4)= 3^3= 27`