Definitions [3]
Exponents: An exponent is a numerical notation that indicates the number of times a number is to be multiplied by itself. Exponent is also called as power or index. Example, 75.
The terms that do not have the same literal coefficients are called unlike terms.
For example:
6a, 6ab and 6ac are unlike terms.
Terms having the same literal part (same variables with the same powers) are called like terms.
For example:
xy, 5xy, -4xy, etc. are like terms
Formulae [5]
For any non-zero integer a, where m and n are whole numbers, am × an =am + n.
For any non-zero integer a, where m and n are whole numbers and m > n, am ÷ an = am – n.
If a is a non-zero rational number and m and n are integers, then (am)n = am × n = amn.
For any non-zero integer a, where m is any whole number, am × bm = (ab)m.
am ÷ bm = `a^m/b^m = (a/b)^m`, where a, and b are any non-zero integers and m is a whole number.
Concepts [12]
- Concept of Exponents
- Laws of Exponents
- Multiplying Powers with the Same Base
- Dividing Powers with the Same Base
- Taking Power of a Power
- Multiplying Powers with Different Base and Same Exponents
- Dividing Powers with Different Base and Same Exponents
- Unit Digit of Numbers in Exponential Form
- Algebraic Expressions
- Terms, Factors and Coefficients of Expression
- Classification of Terms in Algebra
- Degree of Expressions
