Question

Evaluate 36 to the power of -1/2 as a fraction in its simplest form

Answer 1

`(1)/(6)`

Explanation:

First, calculate the square root of 36:

√36 = 6

Next, find the reciprocal (the multiplicative inverse) of the square root:

1/6

So, 36^(-1/2) as a fraction in its simplest form is 1/√36, which simplifies to 1/6.