Question

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

Answer 1

D 1/6

Explanation:

Answer 2

Option 4 is correct that is
`(1)/(6)`

Explanation:

We have been given an expression
`\36^{-(1)/(2)}`

Equivalent means the simplified form of the expression

We use
`x^(-a)=(1)/(x^a)`

Here using the above formula we get

`36^{-(1)/(2)}=(1)/(36^(1)/(2))`

`\Rightarrow \frac{1}{{6^2}^((1)/(2)})}`

`\Rightarrow (1)/(6)`

Hence, Option 4 is correct that is
`(1)/(6)`.