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# Exponents Topic

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EXPONENTS What are exponents? In a mathematical expression where the same number is multiplied many times, it is often useful to write the number as a base with an exponent. The exponent represents the number of times to multiply the number, or base. When a number is represented in this way it is called a power. Example: 5³ → power with base of 5 and exponent of 3 How to use exponents: • To solve for a power, simply multiply the base the number of times indicated by the exponent. In our example, 5³, five would be multiplied three times, 5 · 5 · 5 = 125. • When a number is said to be squared, it means that the exponent is 2. When a number is said to be cubed, it means that the exponent is 3. • If a base has the symbol, ^, and then a number, it means the number after the ^ is the exponent. • Numbers written in expanded form use exponents. The number 3,452 in expanded form would be (3 · 10³) + (4 · 10²) + (5 · 10) + (2 · 1 ). Each number is multiplied by its place value and then added. • When performing mathematical operations with exponents, evaluate the exponent and then perform the operation. In the Order of Operations, exponents are evaluated after parentheses. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

Try this! 1. Solve the following: 6² = 4³ = 5^4 = 3^4 = 2. Rewrite with exponents: 3 · 3 · 3 · 3 · 3 2 · 2 · 2 · 2 7 · 7 · 7 3. Write in expanded form: 2,689 3,254 Solve: 6² + 4 = 2³ · 3² = 5 + 8² - 12 = © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.