Exponents & Roots www.MaxLearning.Net Exponents and Roots are mirror operations. Exponents cause a number to be multiplied by itself to create a product--it's a shortcut for repeated multiplication. Taking the root of a product discovers the original number. Powers Text Video Exponent Ops One-page summary sheet of exponent operations that follow below. Exponents Expand; MAD, RAM, MUK, Screen, & Root bees. Exponents Expand An exponent (power) expands a base (bee) to make a product (hive). 23 = 2 × 2 × 2 = 8 MAD Bees To multiply bees with same bases, Merge bases and Add exponents. 22 × 23 = 2(2+3) = 25 RAM Bees To Raise a bee to a power, Multiply exponents. (22)3 = 2(2×3) = 26 MUK Bees To multiply bees with same powers, Multiply bases and Keep exponent. 22 × 32 = (2×3)2 = 62 Screen Bees To change the sign of an exponent, fly bee through fraction bar “screen” to lose/gain negative “antenna.” Also: Flip Popsicle Bees 2-3 = 1/23 ; (2/3)-4 = (3/2)4 Root Bees Numerator = Power; Denominator = Root. 43/2 = √43 Roots Text Video Square Roots What is a Square (tooth)? What is a Square Root (root of tooth)? Extracting a Square Root (dentist). Perfect Squares. Table of Perfect Squares. Non-Perfect Squares. Estimating Roots of Non-Perfect Squares. Manual Square Roots Square Sir, T-DAM Sir! Use this algorithm, similar to long division, to manually find square roots when you don't have a calculator.