Question

Which of the following is equivalent to 36^-1/2

Answer 1

Answer:

Option 4 is correct that is $\frac{1}{6}$

Step-by-step explanation:

We have been given an expression $\36^{-\frac{1}{2}}$

Equivalent means the simplified form of the expression

We use $x^{-a}=\frac{1}{x^a}$

Here using the above formula we get

$36^{-\frac{1}{2}}=\frac{1}{36^\frac{1}{2}}$

$\Rightarrow \frac{1}{{6^2}^(\frac{1}{2}})}$

$\Rightarrow \frac{1}{6}$

Hence, Option 4 is correct that is $\frac{1}{6}$.