Question

95, if g> 0?
Which expression is equivalent to
OA.
ole
OB. 596
O c.
TOT
con la
OD.
go
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Answer 1

Answer:

equivalent expression of $\sqrt[6]{g^5},\: if\:g>0$ is $\mathbf{g^{\frac{5}{6}}$

Option D is correct option.

Step-by-step explanation:

We need to find equivalent expression of $\sqrt[6]{g^5},\: if\:g>0$

The equivalent expression can be found using exponent rules.

We know that: $\sqrt[6]{x} = x^{\frac{1}{6}}$

Using this and solving our given expression

$\sqrt[6]{g^5},\: if\:g>0\\=(g^5)^{\frac{1}{6}$

Using exponent rule: $(a^m)^n=a^{m*n}$

$=g^{\frac{5}{6}$

So, equivalent expression of $\sqrt[6]{g^5},\: if\:g>0$ is $\mathbf{g^{\frac{5}{6}}$

Option D is correct option.