Question

(2 by the power of 4) by the power of negative 1

Answer 1

`(1)/(16)`

Explanation:
To solve this equation apply the rule of exponents and simplify.

`(2^4)^(-1)`
Apply rule of exponents (a^b)^c = a^bc):

`(2^4)^(-1)=2^(4(-1))`
Solve:

`2^(4(-1)) \\4*-1=-4\\2^(-4) =(1)/(2^4) \\2^4=2*2*2*2=16\\=(1)/(16)`

The answer to your question is 1/16.

I hope this helps.