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x8=−8

(1 point)
Responses

x=64
x equals 64

x=−64
x equals negative 64

x=−1
x equals negative 1

x=0

1 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.