Question

1
Which expression has a value of 36?

Answer 1

The third answer is correct

Explanation:

Use the properties of degrees:

1)

`{( (1)/(108) })^(3) = \frac{ {1}^(3) }{ {108}^(3) } = (1)/(6561)`

`(1)/(6561) ≠ (1)/(36)`

.

2)

`({ (1)/(9) })^(3) = \frac{ {1}^(3) }{ {9}^(3) } = (1)/(729)`

`(1)/(729) ≠ (1)/(36)`

.

3)

`({ (1)/(6) })^(2) = \frac{ {1}^(2) }{ {6}^(2) } = (1)/(36)`

`(1)/(36) = (1)/(36)`

Answer 2

Answer: (1/6)^2

Explanation: