Question

Which is equivalent to 3√8^1/4x

Answer 1

If this problem is cube root of 8 raised to the 1/4x power, it can be written as   8^x/12

Answer 2

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

Use exponent rules:

`\sqrt[n]{a^m} = (a^m)^{(1)/(n) }= a^{(m)/(n)}`

then;

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

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

`8^{(1)/(12)x}`

or

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

Therefore, the expression which is equivalent to
`(\sqrt[3]{8})^{(1)/(4)x}` is,
`(\sqrt[12]{8})^(x)`