GRE Exponents & Algebra Guide | Rules, Shortcuts & Formulas

This is the second part of our guide to GRE Number Properties. Here, we focus on the algebraic tools and computational shortcuts that are essential for solving complex GRE Quant problems with speed and accuracy.

Section 1: Fundamentals of Exponents (Indices)

The Foundation: What is an Exponent?

Start with the core definitions, including positive, negative, zero, and fractional exponents. Build an intuitive understanding with our interactive explorer.

Core Application: Properties & Laws of Exponents

Master the essential rules for manipulating exponents, such as the product, quotient, and power rules, and understand the critical 'tower of powers' distinction.

Section 2: Essential Formulas & Calculation Shortcuts

Key Skill: Essential Algebraic Identities

Memorize and apply the 7 essential formulae for squares and cubes, like (a+b)² and a²-b², which are frequently used to simplify GRE problems.

Speed Trick: Squaring Shortcuts

Learn powerful mental math techniques to square numbers quickly and accurately, a valuable skill for managing time on the GRE.

Advanced Concept: Series Summation

For high-level questions, learn the formulas for the sum of the first 'n' numbers, their squares, and their cubes.

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