Respuesta :

Answer:

B. 1

Step-by-step explanation:

Isolate i on one side of the equation.

First, use exponent rule.

[tex]\displaystyle \mathsf{A^B^C=(A^B)^C}}[/tex]

[tex]\displaystyle \mathsf{(I^2)^3^4=I^6^8}}[/tex]

[tex]\displaystyle \mathsf{(I^2)^3^4}}[/tex]

Solve. (by imaginary number rule.)

i²=-1

(-1)³⁴

=1³⁴

1³⁴=1

=1

[tex]\Large\boxed{\mathsf{\Rightarrow 1}}}[/tex]

In conclusion, the final answer is (B.) 1.