Question

Which is the simplified form of

Answer 1

Answer:
`(1)/(r^(7) ) +(1)/(s^(12) )`

Explanation:

With negative powers,
`r^(-7)  = (1)/(r^(7) )`

do the same for s too

Answer 2

For this case we have that by definition of power properties:

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

We have the following expression:

`r^(-7) + s ^(-12)`

We can rewrite it as:

`\frac {1} {r ^ 7} + \frac {1} {s ^( 12)}`

Finally:

`r ^ {- 7} + s ^ {- 12} = \frac {1} {r ^ 7} + \frac {1} {s ^ {12}}`

Answer:

Option D