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Sagot :
Answer:
equivalent expression of [tex]\sqrt[6]{g^5},\: if\:g>0[/tex] is [tex]\mathbf{g^{\frac{5}{6}}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to find equivalent expression of [tex]\sqrt[6]{g^5},\: if\:g>0[/tex]
The equivalent expression can be found using exponent rules.
We know that: [tex]\sqrt[6]{x} = x^{\frac{1}{6}}[/tex]
Using this and solving our given expression
[tex]\sqrt[6]{g^5},\: if\:g>0\\=(g^5)^{\frac{1}{6}[/tex]
Using exponent rule: [tex](a^m)^n=a^{m*n}[/tex]
[tex]=g^{\frac{5}{6}[/tex]
So, equivalent expression of [tex]\sqrt[6]{g^5},\: if\:g>0[/tex] is [tex]\mathbf{g^{\frac{5}{6}}[/tex]
Option D is correct option.
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