Chapter 10 - Exponents and Radicals - Review Exercises: Chapter 10 - Page 694: 56

$-1$

Using the Power Rule of the laws of exponents which is given by $\left( x^m \right)^p=x^{mp},$ the expression above is equivalent to \begin{array}{l}\require{cancel} i^{34} \\\\= \left( i^2 \right)^{17} \\\\= \left( -1 \right)^{17} \\\\= -1 .\end{array}