Proof That Any Number Raised to 0 Equals 1

You have learned before that any number raised to 0 equals 1. But did you ever wonder why any non-zero number when raised to 0 equals 1? Here’s a very simple explanation. We know that when we divide an expression with exponents having the same base, we subtract the exponents. That is, for any non-zero […]
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Video: The Man Behind the Proof of the Fermat’s Last Theorem

The Fermat’s Last Theorem was proposed by French mathematician Pierre de Fermat in 1637.  It was one of the most difficult problems in the history of mathematics. The Fermat’s Last Theorem is related to Pythagorean Theorem. Recall that the Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse […]
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The General Formula of Polygonal Numbers

When objects are arranged in certain ways, they  form a pattern. For example, square numbers can be obtained by forming objects in square arrangements. As shown below, the first four square numbers are 1, 4, 9, 16 and 25. Clearly, the number of dots in the 100th square number is . In general, the formula […]
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