Question
Given that the cube root of 27 is 3. what is 27^(4)/(3) 12 108 81 3
Solution
4.7
(263 Votos)
Nathalia
Mestre · Tutor por 5 anos
Resposta
To solve this problem, we need to understand the concept of fractional exponents and how they relate to roots and powers.The expression
can be broken down as follows:1. The cube root of 27 is 3, which means
.2. We need to raise this result to the power of 4.So, we can rewrite the expression using the property of exponents:
Since
, we have:
Now, calculate
:
Therefore, the value of
is 81.So, the correct answer is: