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

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

Explanation:

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

To find : What is equivalent to given expression ?

Solution :

We can write or solve the given expression as :

`(\sqrt[3]{8})^{(1)/(4)x}`

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

`=\sqrt{8^(1)/(3)}^{(1)/(4)x}`

`=√(8)^{(1)/(3)* (1)/(4)x}`

`=√(8)^{(1)/(12)x}`

or
`=\sqrt[12]{8}^(x)`

or
`=√(2^3)^{(1)/(12)x}`

`=√(2)^{(1)/(4)x}`

`=\sqrt[4]{2}^(x)`

These are the possible value equivalent to given expression.