Evaluate exponents

Learning Objectives Identify the base and exponent in an exponential expression. Explain the meaning of an exponent as repeated multiplication. Write repeated multiplication in exponential form. Evaluate exponential expressions with whole number bases and positive integer exponents (up to 4). Distinguish between multiplying the base by the exponent and evaluating an exponential expression. Solve simple problems involving 'squared' and 'cubed' numbers. Have you ever seen numbers written with a tiny number floating above them? 🤔 These aren't just fancy decorations; they're powerful shortcuts for multiplication! In this lesson, you'll discover what these special numbers, called exponents, mean and how to 'evaluate' them to find the...

TermDefinitionExample ExponentThe small number written above and to the right of the base, which tells you how many times the base number is multiplied by itself.In $3^4$, the '4' is the exponent. BaseThe number that is multiplied by itself in an exponential expression.In $3^4$, the '3' is the base. PowerAn expression that represents repeated multiplication of the same factor, written with a base and an exponent. It's also the result of evaluating an exponential expression.$3^4$ is read as '3 to the power of 4'. The value of $3^4$ (which is 81) is also called a power. Exponential FormA way of writing repeated multiplication using a base and an exponent, making it shorter and easier to read.Instead of $2 \times 2 \times 2$, we write it in exponential form...

Definition of an Exponent $a^n = a \times a \times \dots \times a$ (n times) This is the fundamental rule: the exponent 'n' tells you to multiply the base 'a' by itself 'n' times. For example, $2^3 = 2 \times 2 \times 2$. Any Number to the Power of 1 $a^1 = a$ When the exponent is 1, the base is multiplied by itself only once, which means the value is just the base number itself. For example, $7^1 = 7$. Special Case: Squared $a^2 = a \times a$ When the exponent is 2, we say the base is 'squared'. This is commonly used for calculating areas. For example, $6^2 = 6 \times 6 = 36$. Special Case: Cubed $a^3 = a \times a \times a$ When the exponent is 3, we say the base is 'cubed'. This is commonly used for calculat...