Question

Which is equivalent to the cube root of 8^1/4x?

Answer 1

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Answer 2

`2^{(1)/(4)x}`

Explanation:

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

The given radical expression can be written as exponential form

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

we write 8 in exponential form

`8=2*2*2= 2^3`

we apply the rule to convert it into exponential form

`\sqrt[3]{8^{(1)/(4)x}}=\sqrt[3]{2^{(3)/(4)x}}=2^{(3)/(4)x*(1)/(3)}=2^{(1)/(4)x}`