Q:
# Who invented exponents?

Euclid discovered the concept underlying the exponent, calling the area of a square a power of the length of a single side. Archimedes later generalized the idea of powers in his work, "The Sand Reckoner." He discovered and proved the law of exponents in the same work.

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A general exponential notation, however, was not invented until much later. Mathematicians in the Islamic golden age discovered algebra and worked with equations utilizing powers of two and three. The scholar Omar Khayyam developed a method for finding fourth, fifth and higher roots, but his method was geometric, not algebraic, and did not utilize any kind of exponential or root notation. Nicolas Chuquet, a European mathematician, was the first to use exponential notation and invent the radical symbol to represent roots. His work, "Triparty en la science des nombres," was written in 1484. René Descartes, almost two centuries later, popularized superscript notation for exponents and many other aspects of modern algebraic notation in Europe.

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Q:
## What is negative scientific notation?

A: Negative scientific notation is expressing a number that is less than one, or is a decimal with the power of 10 and a negative exponent. An example of a nu... Full Answer >Filed Under: -
Q:
## What does a negative number in parentheses next to an exponent not in parenthesis mean?

A: A negative number in parentheses followed by an exponent indicates that the negative number is to be raised to the power indicated by the exponent. For exa... Full Answer >Filed Under: -
Q:
## What are the division properties of exponents?

A: The division properties of exponents are: when dealing with like bases, exponents are subtracted when the bases are divided; when an entire quotient is rai... Full Answer >Filed Under: -
Q:
## What are exponents with fractions?

A: If an exponent is a fraction, such as y^1/n, the correct operation is to take the nth root of the base number y. For example, 27^1/3 is the same thing as t... Full Answer >Filed Under: