![]() ![]() René Descartes established the first form of our contemporary exponential notation in his treatise titled La Géométrie in the early 17th century the notation is introduced in Book I of the text. In 1696, Samuel Jeake introduced the term indices. Michael Stifel created the term “exponent” in 1544. In the 15th century, Nicolas Chuquet created a type of exponential notation that was later utilized by Henricus Grammateus and Michael Stifel in the 16th century. Jost Bürgi utilized exponents for Roman numerals in the late 16th century. During the 19 th century, Muhammad ibn Mūsā al-Khwārizmī introduced the terms مَال (māl, “possessions”, “property”) for a square. In his work, he was able to prove 10 a x 10 b = 10 a + b. Meanwhile, Archimedes discovered and proved the laws of exponents in his work The Sand Reckoner. ![]() The word power came from the Latin word potentia, potestas, dignitas which is a mistranslation of the ancient Greek term δύναμις ( dúnamis), which was employed for the square of a line by Euclid, following Hippocrates of Chios. Thus, 5 3 means the same thing as 5 x 5 x 5.Įxponentiation is a mathematical operation written in the form of x n, where x denotes the base and n represents the exponent. A base is a number that we will repeatedly multiply to itself, and the exponent will tell us how many times the base will be multiplied to itself. In this example, 5 is the base and 3 is the exponent. Usually, the exponent is written as a superscript to the right of the base. ![]() Exponents are also referred to as powers or indices.
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