Only 1% can solve (-1)^π correctly

Calculating -1 to the power of pi leads to a surprising result. We show why the answer is not a single number but infinite values. This concept will shape the understanding of complex numbers, visualization power and algebra of a student. Most algebra students assume raising a negative number to a power results in a simple real value. However, using Euler's identity, we show that exponentiation with negative bases behaves differently in the complex plane. We break down the math behind this operation to explain why the result is actually an infinite set of complex numbers. This video uses complex logarithms to derive the principal value and provides numerical approximations for the expression. You will learn how to navigate these multivalued functions and understand the logic that keeps mathematical analysis consistent even when dealing with non-intuitive exponents. 00:00 The mystery of -1 to the power pi 00:39 Understanding function (-1)^x 01:19 Irrational powers like pi 02:24 (-1)^pi answers 02:59 Euler's formula 03:51 Rule of Natural Log 04:51 (-1)^pi answer Subscribe to build your mathematical intuition with visual breakdowns.