Question

What is equivalent to 3 square root 8^1/4x?

Answer 1

3*root 8 to the 1/4x power is equivalent to 3*4th root of 8 to the x,

Answer 2

Answer:

$(\sqrt[3]{8})^{\frac{1}{4}x}=\sqrt[12]{8}^{x}$  

Step-by-step explanation:

Given : Expression $(\sqrt[3]{8})^{\frac{1}{4}x}$    

To find : What is equivalent to given expression ?

Solution :

We can write or solve the given expression as :

$(\sqrt[3]{8})^{\frac{1}{4}x}$  

Using exponent rule : $\sqrt[n]{x^m}=(x^m)^\frac{1}{n}=x^\frac{m}{n}$

$=\sqrt{8^\frac{1}{3}}^{\frac{1}{4}x}$  

$=\sqrt{8}^{\frac{1}{3}\times \frac{1}{4}x}$  

$=\sqrt{8}^{\frac{1}{12}x}$  

or  $=\sqrt[12]{8}^{x}$  

or  $=\sqrt{2^3}^{\frac{1}{12}x}$  

$=\sqrt{2}^{\frac{1}{4}x}$  

$=\sqrt[4]{2}^{x}$

These are the possible value equivalent to given expression.