Answer:
1
Explanation:
Assuming, we want to find the value of
![((-14)^0)^(-2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fqkst7oqeh8gdkv0mjat98h4491joryy6m.png)
Recall that: any non-zero number exponent zero is 1.
Using this property, we simplify our expression to
since
![(-14)^0=1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5iosbp27dbcdeqymab921qyhjcdi7w699y.png)
Now using the property of exponents:
![a^(-n)=(1)/(a^n)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/u8fi9bf9hk8h5mi5v4ee6bbqrcaw4rf5gb.png)
This implies that:
![1^(-1)=(1)/(1^2)=(1)/(1)=1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pl7w0rx6naxjylyp4zbxfv5en8zut205np.png)
The correct answer is 1