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# Repeated Multiplication to Exponents Topic

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What Is Representing Repeated Multiplication in Exponential Form? • When a numerical expression asks us to multiply a number by itself, it look like this: 6 x 6 7 x 7 12 x 12 34 x 34 • Repeated multiplication is multiplying the same number by itself 2 or more times such as: 30 x 30 8 x 8 x 8 91 x 91 x 91 x 91 5 x 5 x 5 x 5 x 5 • An exponent is a number which appears to the right of a number and is slightly smaller and above the base line: 52 43 104 158 • An exponent tells how many times to multiply a number by itself. 5 x 5 →52 4 x 4 x 4 → 43 10 x 10 x 10 x 10 →104 © 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.

How to represent repeated multiplications in exponential form: • When a number is multiplied by itself, this is called repeated multiplication: 3 x 3 7 x 7 x 7 x 7 5 x 5 x 5 x 5 x 5 • Another way to express this multiplication is to count the number of times the number is multiplied and place an exponent next to the number. The exponent is written smaller and goes to the right and slightly above the number. 30 x 30 = 302 8 x 8 x 8 = 83 91 x 91 x 91 x 91= 914 5 x 5 x 5 x 5 x 5 = 55 • The number with its exponent indicates how many times to multiply the number by itself. Try This: What would be the exponential form of the following repeated multiplication expressions? 66 x 66 x 66 = ________ 15 x 15 = ________ 9 x 9 x 9 x 9 ________ 305 x 305 x 305 x 305 x 305 x 305 x 305 x 305 = ________ © 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.