Question

The expression can be rewritten as

Answer 1

81^3/4

Which happens to be 27.

Answer 2

Answer:

27

Step-by-step explanation:

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

The rule to convert radical form into exponential form is

$(\sqrt[n]{x})^m = x ^\frac{m}{n}$

First we write the given radical form in exponential form

$(\sqrt[4]{81})^3=81^\frac{3}{4}$

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

Replace 81 with 3^4

$(\sqrt[4]{81})^3=(3^4)^\frac{3}{4}$

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

$(\sqrt[4]{81})^3=(3^4)^\frac{3}{4}= 3^3= 27$