Question

Helppp simplify (3^-2)^4

Answer 1

For this case we must simplify the following expression:

`(3 ^ {-2}) ^ 4`

By definition of power properties we have to:
`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

So, rewriting the expression we have:

`(\frac {1} {3 ^ 2}) ^ 4 = \frac {1 ^ 4} {(3 ^ 2) ^ 4} = \frac {1} {(3 ^ 2) ^ 4}`

By definition of power properties we have:

`(a ^ n) ^ m = a ^ {n * m}`

So:

`\frac {1} {(3 ^ 2) ^ 4} = \frac {1} {3 ^ 8}`

Answer:

Option D