## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set - Page 687: 95

#### Answer

$0$

#### Work Step by Step

Using $i^2=-1$ and the laws of exponents, the given expression, $i^2+i^4 ,$ is equivalent to \begin{array}{l}\require{cancel} i^2+(i^2)^2 \\\\= (-1)+(-1)^2 \\\\= -1+1 \\\\= 0 \end{array}

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