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

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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)

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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,

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

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )