equivalent expression of
is ![\mathbf{g^{\frac{5}{6}}](/tpl/images/1083/0994/5e8ed.png)
Option D is correct option.
Step-by-step explanation:
We need to find equivalent expression of ![\sqrt[6]{g^5},\: if\:g0](/tpl/images/1083/0994/63bd3.png)
The equivalent expression can be found using exponent rules.
We know that: ![\sqrt[6]{x} = x^{\frac{1}{6}}](/tpl/images/1083/0994/059b8.png)
Using this and solving our given expression
![\sqrt[6]{g^5},\: if\:g0\\=(g^5)^{\frac{1}{6}](/tpl/images/1083/0994/2ce7c.png)
Using exponent rule: ![(a^m)^n=a^{m*n}](/tpl/images/1083/0994/0028f.png)
![=g^{\frac{5}{6}](/tpl/images/1083/0994/875ce.png)
So, equivalent expression of
is ![\mathbf{g^{\frac{5}{6}}](/tpl/images/1083/0994/5e8ed.png)
Option D is correct option.