Answer:
equivalent expression of
is
![\mathbf{g^{(5)/(6)}]()
Option D is correct option.
Explanation:
We need to find equivalent expression of
![\sqrt[6]{g^5},\: if\:g>0](https://img.qammunity.org/2022/formulas/mathematics/high-school/ogdgf7kbbnuf89sweelmt4lls4fgv05qdb.png)
The equivalent expression can be found using exponent rules.
We know that:
![\sqrt[6]{x} = x^{(1)/(6)}](https://img.qammunity.org/2022/formulas/mathematics/high-school/j5svy0f0mmzzn36fecwzyq1wdxkuyo0ps1.png)
Using this and solving our given expression
![\sqrt[6]{g^5},\: if\:g>0\\=(g^5)^{(1)/(6)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ki0z9o9gt98c2bvv1z5jbv0bqfo7x2vhvr.png)
Using exponent rule:


So, equivalent expression of
is
![\mathbf{g^{(5)/(6)}]()
Option D is correct option.