Question

Which is the simplified form of x^-12

Answer 1

`(1)/(x^(12))`

Explanation:

The given expression is
`x^(-12)`

We never leave the final expression having a negative exponent.

So, we must change this negative exponent to a positive exponent.

In order to do that, we use the below property of exponent:-

`x^(-m)=(1)/(x^m)`

Here m = 12

Therefore, by using this property, we get

`x^(-12)\\\\=(1)/(x^(12))`

Thus, the simplified form is

`(1)/(x^(12))`

Answer 2

For this case we must simplify the following expression:

`x ^ {12}`

By definition of power properties we have to:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

Then we can rewrite the expression as:

`x ^ {- 12} = \frac {1} {x ^ {12}}`

ANswer:

`x ^ {- 12} = \frac {1} {x ^ {12}}`