Answer:
Option 4 is correct that is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
We have been given an expression [tex]\36^{-\frac{1}{2}}[/tex]
Equivalent means the simplified form of the expression
We use [tex]x^{-a}=\frac{1}{x^a}[/tex]
Here using the above formula we get
[tex]36^{-\frac{1}{2}}=\frac{1}{36^\frac{1}{2}}[/tex]
[tex]\Rightarrow \frac{1}{{6^2}^(\frac{1}{2}})}[/tex]
[tex]\Rightarrow \frac{1}{6}[/tex]
Hence, Option 4 is correct that is [tex]\frac{1}{6}[/tex].
