Página inicial
/
Matemática
/
Given That the Cube Root of 27 Is 3. What Is 27^(4)/(3) 12 108 81 3

Question

Given that the cube root of 27 is 3. what is 27^(4)/(3) 12 108 81 3

Solution

Verificación de expertos
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: