Algebraic Expressions class 8 🔥📈 | Algebraic Identities | Mr Onko shorts | Indices class 9 icse 🎯📝

Algebraic Expressions class 8 🔥📈 | Algebraic Identities | Mr Onko shorts | Indices class 9 icse 🎯📝

Indices (Exponents) Class 9 - the concept of indices, also known as exponents, is introduced to students. It's a fundamental concept in mathematics, particularly algebra.
An index or exponent is a number that indicates how many times a base number is multiplied by itself. It's written as a superscript to the base number.
For example, in 2³, 2 is the base, and 3 is the exponent. This means 2 multiplied by itself 3 times: 2 × 2 × 2.
Key Laws of Indices:
* Product Law:
* aᵐ × aⁿ = a^(m+n)
* Quotient Law:
* aᵐ ÷ aⁿ = a^(m-n)
* Power Law:
* (aᵐ)ⁿ = a^(m×n)
* Zero Exponent Law:
* a⁰ = 1 (any non-zero number raised to the power of 0 is 1)
* Negative Exponent Law:
* a⁻ⁿ = 1/aⁿ
Applications of Indices:
* Simplifying Expressions: Indices are used to simplify complex algebraic expressions.
* Solving Equations: They are essential in solving equations involving exponential functions.
* Scientific Notation: This notation uses indices to represent very large or very small numbers.
* Compound Interest: Calculating compound interest involves the use of exponents.

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