Exponents & Roots Explained | Positive, Negative & Fractional Powers

Exponents and roots can look complicated, but the rules become much easier once you understand what the notation actually means. In this beginner-friendly Business Mathematics lesson, we explain positive, zero, negative and fractional exponents step by step. You’ll learn: • What a base and exponent represent • Why exponents are shortcuts for repeated multiplication • How to multiply powers with the same base • How to divide powers with the same base • Why a power raised to another power multiplies the exponents • Why any non-zero number raised to the power of zero equals 1 • What negative exponents really mean • How negative exponents create reciprocals • How fractional exponents connect to square roots and cube roots • Why exponents matter in business and financial mathematics Examples include: 3² × 3³ = 3⁵ 5⁴ ÷ 5² = 5² 10⁻² = 1/100 = 0.01 81¹⁄² = √81 = 9 27¹⁄³ = ∛27 = 3 You’ll also see why exponents are important in calculations involving repeated growth, including compound interest. The goal is not just to memorise exponent laws. It is to understand why those laws work. This lesson is part of the *Business Mathematics Made Simple* series from The Student Desk Academy. ▶️ Next lesson: *Percentage Increase & Decrease | Formula + Business Examples* Subscribe and continue through the full Business Mathematics series. *The Student Desk Academy* Where complex concepts become simple. #Exponents #Roots #BusinessMathematics #BusinessMath #MathForBeginners