Chapter 6 · Class 9 ICSE · Formula Sheet

Indices (Exponents) Formulas — Class 9 ICSE

Apply laws of indices to simplify expressions with fractional and negative exponents.

Key Formulas

Fractional Exponent

a^{m/n} = \sqrt[n]{a^m}

Negative Exponent

a^{-n} = \dfrac{1}{a^n}

All Laws Combined

a^m \cdot a^n = a^{m+n}, \quad (a^m)^n = a^{mn}, \quad (ab)^n = a^n b^n

Worked Examples

1Using: Application

Apply the key formula from this topic to a sample problem.

Step 1: Identify the formula.

Step 2: Substitute the values.

Step 3: Simplify to get the answer.

Answer: See solution above

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More Class 9 ICSE Formulas

Rational & Irrational NumbersCompound InterestExpansionsFactorizationSimultaneous Linear EquationsLogarithms

Frequently Asked Questions

How many formulas are in Class 9 ICSE Indices (Exponents)?+
There are 3 formulas in the Indices (Exponents) chapter for Class 9 ICSE. Each formula is essential for solving problems in this topic.
How to remember Indices (Exponents) formulas easily?+
Practice regularly with worked examples, group related formulas together, and use SparkEd's interactive practice mode to reinforce your memory through problem-solving.
Are these Indices (Exponents) formulas enough for exams?+
Yes, these formulas cover the complete ICSE Class 9 syllabus for Indices (Exponents). Practice applying them to different types of questions for full exam readiness.

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