x8=−8

Question

x8=−8
(1 point)
Responses

x=64
x equals 64

x=−64
x equals negative 64

x=−1
x equals negative 1

x=0

GPT-4o mini · Answer

To solve the equation $ x^8 = -8 $, we need to analyze the expression. 1. **Understanding the equation**: The left side, $ x^8 $, represents a real number raised to an even power, which can never be negative. Thus, $ x^8 $ is always non-negative for real values of $ x $. 2. **Conclusion**: Since $ -8 $ is a negative number and there are no real solutions to this equation, the correct conclusion is that there are no real values of $ x $ that satisfy $ x^8 = -8 $. Given the provided answers, none of them are correct. The equation has no real solutions.