Select the correct answer. Which expression is equivalent to \sqrt[6]{g^(5) }, if g > 0? A. g^{(6)/(5) } B. 5g^(6) C. (5)/(6) g D. g(5)/(6)

Question

Select the correct answer.

Which expression is equivalent to
`\sqrt[6]{g^(5) }`, if g > 0?
A.
`g^{(6)/(5) }`

B.
`5g^(6)`

C.
`(5)/(6) g`

D.
`g(5)/(6)`

Answer 1

D. g^(5/6)

Explanation:

The root index will be the denominator of the fractional exponent. If the root (or the radicand) is raised to some power, that power will be the numerator of the fractional exponent.

The 6th root of the 5th power of g can be written using a fractional exponent as ...

g^(5/6)