The equivalence of the given expression is 8. The correct option is the second option- 8
Evaluating indices
From the question, we are to determine which is equivalent to [tex]16^{\frac{3}{4} }[/tex]
First, express 16 in index form, we get
[tex](2^{4})^\frac{3}{4}[/tex]
Then, this becomes
[tex]2^{4 \times \frac{3}{4} }[/tex]
= [tex]2^{3}[/tex]
= 8
Hence, the equivalence of the given expression is 8. The correct option is the second option- 8
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