How to Work with Exponents (Laws of Exponents) Definition, Types, Examples & Uses

How to Work with Exponents (Laws of Exponents)

Subject: Mathematics

Book: Maths Mastery

Exponents, or powers, indicate repeated multiplication of a base number. Key laws include Product of Powers (a^m × a^n = a^(m+n)) and Power of a Power ((a^m)^n = a^(m×n)). For example, 2² × 2³ = 2^(2+3) = 2^5 = 32. Negative exponents a^–n represent 1/(a^n). Mastering exponents is vital in scientific notation, compound interest, and growth/decay problems. By consistently applying exponent laws, you can simplify expressions, solve exponential equations, and interpret phenomena like population growth or radioactive decay with ease.