Respuesta :

2^-15

The answer is 1/2^15

For this case we must indicate an expression equivalent to:

[tex](2 ^ 3) ^ {-5}[/tex]

By definition of power properties we have to:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

We also have to:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Rewriting the expression we have:

[tex](2 ^ 3) ^ {-5} = 2 ^ {-15} = \frac {1} {2 ^ {15}}[/tex]

Answer:

Option A