Write multiplication expressions using exponents

Learning Objectives Identify the base and exponent in an exponential expression. Write repeated multiplication expressions in exponential form. Expand an exponential expression into its repeated multiplication form. Read exponential expressions correctly using terms like 'squared' and 'cubed'. Understand that an exponent indicates the number of times the base is multiplied by itself. Distinguish between multiplying the base by the exponent and repeated multiplication. Evaluate simple exponential expressions. Have you ever seen a number multiply itself many, many times? 🤯 What if there was a shorter, more powerful way to write that long string of numbers? In this lesson, you'll discover how to use exponents to write long multiplication problems in...

TermDefinitionExample Repeated MultiplicationMultiplying the same number by itself multiple times.3 × 3 × 3 × 3 Exponential Expression (or Exponential Form)A way of writing repeated multiplication using a base and an exponent.Instead of 3 × 3 × 3 × 3, we write 3⁴. BaseThe number that is being multiplied by itself in an exponential expression. It's the 'big' number.In 3⁴, the base is 3. ExponentA small number written above and to the right of the base, indicating how many times the base is multiplied by itself. It's the 'small' number.In 3⁴, the exponent is 4. PowerAnother word for an exponential expression, or the result of evaluating one. We often say '3 to the power of 4'.3⁴ is read as '3 to the power of 4'. SquaredA special way to say &...

Definition of an Exponent $a^n = a \times a \times a \times \dots \times a$ (n times) This rule defines what an exponent means: the base 'a' is multiplied by itself 'n' number of times. The exponent 'n' tells you how many factors of 'a' there are in the multiplication. Exponent of One $a^1 = a$ Any number raised to the power of 1 is simply the number itself. This is because the base is multiplied by itself only once (or, rather, it appears as a single factor). Reading Exponential Expressions $a^2$ is 'a squared', $a^3$ is 'a cubed', $a^n$ is 'a to the power of n' This rule provides the standard way to read exponential expressions. 'Squared' and 'cubed' are special terms used for...