Class 8 · Chapter 2

Power Play

Exponents, laws of exponents, negative and rational exponents.

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Ganita Prakash · Class 8 Part 1 (2026-27)

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Detailed theory

All operations with same base: add exponents when multiplying, subtract when dividing, multiply when taking a power of a power.

Key concepts & formulas

a^m \cdot a^n = a^{m+n}

;

a^m/a^n = a^{m-n}

(a^m)^n = a^{mn}

;

(ab)^n = a^n b^n

a^0 = 1

(for

a\ne 0

a^{-n} = 1/a^n

Standard form:

a \times 10^n

where

1\leq a<10