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List Of Lessons On Basics And Operations On Exponents

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Introduction

Exponent or power is the shorter way of writing the repeated multiplication of a number. In general, if a number n is multiplied three times repeatedly, which can be written as n × n × n, can also be written in the shorter way of exponents as n³.

Over the period of time, the mathematicians used their own way to write such repeated multiplications. Archimedes used powers of 10 and proved the law the laws of 10 a . 10 b = 10 a + b . Al-Khwarizmi also used the notations of square and cube while solving mathematical problems. Jost Bürgi, the Swiss mathematician, used Roman numerals to write exponent forms. René Descartes used modern notation of numbers but only for powers greater than 2.

Later powers were also adapted in writing units of measurements where units are repeated more than one time. For example, in area the units are repeated two times, so it can be written in exponent form as m² (meter square) and the units of volume can be written in exponent form as m³ (meter cube).

Exponents lessons

ALGEBRA > EXPONENTS

Laws of Exponents And The Rule To Write The Standard Index Form

What are the common rules of exponents? Learn & practice how to convert short & long numbers to the scientific notations using examples & free worksheets.
Table of contents
  • Exponents
  • Laws of exponents
    • When same bases are multiplied
    • When same bases are divided
    • When exponent is 0
    • Power of a power
    • Product of bases with same exponents
    • Division of bases with same exponents
  • What is the standard index form?
  • How to write standard index form?
    • If number less than 1
    • If number lies from 1 to 10
    • If number greater than 10
Rupinder Kaur
Aug 18, 2026
Algebra
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