Question

Help fast !!! 20 points !!!

Which is equivalent to \sqrt[3]{8}^{\frac{1}{4}x} ?
a. 8^{\frac{3}{4}x}
b. \sqrt[7]{8}^{x}
c. \sqrt[12]{8}^{x}
d. 8^\frac{3}{4x}

Answer 1

Explanation:

It takes a while to understand but the answer is c because if you reverse [3][8] by [1]4]x you add them together get [7][8]^[x] :)

Answer 2

The usual convention is to write
`\sqrt[n]x=x^(1/n)`. So

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

and the answer is C.