1-4 Sign of a power: even and odd exponents
Point 4 of 11 — Unit 1: Powers of Powers and Exponential EquationsQuestion bank: 0 questions (0 with pictures)
04 1-4 Sign of a power: even and odd exponents
- (−a)ⁿ is positive when n is even and negative when n is odd.
- (−2)⁴ = 16 but −2⁴ = −16; (−2)⁻³ = −1/8.
- Any real power of a positive base is positive, so aⁿ = −4 has no real solution when n is even.
- For comparison questions, put the numbers over a common exponent or a common base before judging which is larger.
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