Simplify the cubed root of six over the fourth root of six six raised to the one twelfth power six raised to the one fourth power six raised to the four thirds
Mathematics
Michayla05
Question
Simplify the cubed root of six over the fourth root of six
six raised to the one twelfth power
six raised to the one fourth power
six raised to the four thirds power
six raised to the seven twelfths power
six raised to the one twelfth power
six raised to the one fourth power
six raised to the four thirds power
six raised to the seven twelfths power
2 Answer

1. User Answers bayaankoolinaasir
Answer:
six raised to the one twelfth power
Stepbystep explanation:
The cubed root of 6/the fourth root of 6 equals (6^1/3)/(6^1/4)
6^((1/3)(1/4))
6^((43)/12)
6^1/12

2. User Answers abidemiokin
The simplified form of the expression is six raised to the one twelfth power
Given the expression
 [tex]\dfrac{\sqrt[3]{6} }{\sqrt[4]{6} }[/tex]
According to indices, this expression can also be written as:
 [tex]\dfrac{(6)^{1/3}}{6^{1/4}}[/tex]
Using the law of indices;
[tex]\dfrac{a^m}{a^n} = a^{mn}[/tex]
Applying this expression will give:
[tex]=\dfrac{6^{1/3}}{6^{1/4}} \\= 6^{1/31/4}\\=6^{43/12}\\=6^{1/12}[/tex]
Hence the simplified form of the expression is six raised to the one twelfth power
Learn more on indices here: https://brainly.com/question/8952483