Evaluate exponents

Learning Objectives Define and identify the base and exponent in an exponential expression. Convert an exponential expression into its expanded form (repeated multiplication). Evaluate exponential expressions with positive integer bases and positive integer exponents. Evaluate exponential expressions with fractional and decimal bases and positive integer exponents. Apply the rules for exponents of 0 and 1 to evaluate expressions. Solve simple real-world problems involving the evaluation of exponents. Ever wonder how scientists describe incredibly large numbers, like the number of cells in your body, or how computer memory is measured? 🚀 Exponents are the secret! In this lesson, you'll learn what exponents are, how to read them, and most importantly, how to calculate...

TermDefinitionExample ExponentThe small number written above and to the right of the base number. It tells you how many times to multiply the base by itself.In $3^4$, the '4' is the exponent. BaseThe number that is being multiplied by itself. It's the larger number in an exponential expression.In $3^4$, the '3' is the base. PowerThe entire expression consisting of a base and an exponent. It represents the result of multiplying the base by itself a certain number of times.The expression $3^4$ is read as '3 to the power of 4'. SquaredA special term for an exponent of 2. It means the base is multiplied by itself two times.$5^2$ is read as '5 squared', and it equals $5 imes 5 = 25$. CubedA special term for an exponent of 3. It means the base is mu...

Definition of an Exponent $a^n = a \times a \times \dots \times a$ (n times) To evaluate an exponent, multiply the base 'a' by itself 'n' number of times. 'n' is the exponent, and 'a' is the base. Power of One Rule $a^1 = a$ Any non-zero number raised to the power of 1 is equal to the base itself. The number is multiplied by itself only once. Power of Zero Rule $a^0 = 1$ (for $a \neq 0$) Any non-zero number raised to the power of 0 is always equal to 1. This is a special rule to remember.