Question

Which expression is equivalent to (look at picture)

Answer 1

2^-15

The answer is 1/2^15

Answer 2

For this case we must indicate an expression equivalent to:

`(2 ^ 3) ^ {-5}`

By definition of power properties we have to:

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

We also have to:

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

Rewriting the expression we have:

`(2 ^ 3) ^ {-5} = 2 ^ {-15} = \frac {1} {2 ^ {15}}`

Answer:

Option A