Which expressions are equivalent (1)/(36)

Question

Which expressions are equivalent
`(1)/(36)`

Answer 1

6^-2

Explanation:

To answer this, you need to know one basic law of indices:

x^-n = 1/x^n

So here 1/36 is the same as 36^-1.

Then we can simply sqr root 36 to give (6^2)^-1.

When two powers are one in and one out of the brackets, they multiply each other. So here it would be 2*-1, which would give -2.

So the answer is 6^-2.