Which is equivalent to rootindex 3 startroot 8 endroot superscript one-fourth x?

8 superscript three-fourths x
rootindex 7 startroot 8 endroot superscript x
rootindex 12 startroot 8 endroot superscript x
8 superscript startfraction 3 over 4 x endfraction

RootIndex 12 StartRoot 8 EndRoot Superscript x

12th root of 8^x = (12th root of 8)^x

=========================================

Explanation:

The general rule is

so any nth root is the same as having a fractional exponent 1/n.

Using that rule we can say the cube root of 8 is equivalent to 8^(1/3)

-----

Raising this to the power of (1/4)x will have us multiply the exponents of 1/3 and (1/4)x like so

(1/3)*(1/4)x = (1/12)x

In other words,

-----

From here, we rewrite the fractional exponent 1/12 as a 12th root. which leads us to this

{3 + i, 3 - i, 3, -1}

step-by-step explanation:

the barter