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# Exponent Rules

This prezi will help you understand the exponent rules of Algebra.

by

Tweet## Fatimush Alderete

on 5 January 2013#### Transcript of Exponent Rules

By Fatima Alderete Exponent Rules Rule #1 This rule requires for two powers multiplied by each other.

But, the bases of the powers have to be the same For example, To multiply the two powers you first need to add the exponents. After you add them, you need to keep the same base. For example, 17 * 17 = 17 8 5 X * X = X m n m + n Thank You Hope You Enjoyed \(^.^)/ 3 25 * 25 = 25 2 5 7 For example, Z * Z = Z F J F + J Rule #2 Rule number two requires to have a power multiplied by a exponent. For Example, ( Z ) = Z l r lr ( F ) =F b z bz To multiply the power by the exponent you first need to multiply the two exponents. Since there is only one base you keep the same base. For Example, (8 ) =8 9 1 9 (985 ) =985 8 12 96 Rule #3 Rule #3 requires the product of 2 variables raised to X. For example In order to do this you distribute the exponent to the numbers. then you multiply the two powers by each other For Example, Rule #4 Rule #4 requires a fraction, the numerator and the denominator are a power with the same base and a different exponent. For Example, In order to do this problem you could use common factors. For Example, Rule #5 Rule # 5 requires a fraction with an exponent. For Example, In order to finish this problem you need to multiply the same fraction as many times as the exponent says. For Example, Rule #6 Rule #6 requires you to use rule #4. Instead of using common factors you subtract the exponents which have to be the same. That will give you 0 then, you divide your fraction which will give you just 1. For Example (ab) X (zf) X (10*20) (8*8) 3 5 A/A

F/F 8/8 3/3 (A/B) (B/X) (8/5) (3/8) x A 3 5 A/A 8/8 B/B 10/10 3 8 X A x n n x 2 3 3 2

Full transcriptBut, the bases of the powers have to be the same For example, To multiply the two powers you first need to add the exponents. After you add them, you need to keep the same base. For example, 17 * 17 = 17 8 5 X * X = X m n m + n Thank You Hope You Enjoyed \(^.^)/ 3 25 * 25 = 25 2 5 7 For example, Z * Z = Z F J F + J Rule #2 Rule number two requires to have a power multiplied by a exponent. For Example, ( Z ) = Z l r lr ( F ) =F b z bz To multiply the power by the exponent you first need to multiply the two exponents. Since there is only one base you keep the same base. For Example, (8 ) =8 9 1 9 (985 ) =985 8 12 96 Rule #3 Rule #3 requires the product of 2 variables raised to X. For example In order to do this you distribute the exponent to the numbers. then you multiply the two powers by each other For Example, Rule #4 Rule #4 requires a fraction, the numerator and the denominator are a power with the same base and a different exponent. For Example, In order to do this problem you could use common factors. For Example, Rule #5 Rule # 5 requires a fraction with an exponent. For Example, In order to finish this problem you need to multiply the same fraction as many times as the exponent says. For Example, Rule #6 Rule #6 requires you to use rule #4. Instead of using common factors you subtract the exponents which have to be the same. That will give you 0 then, you divide your fraction which will give you just 1. For Example (ab) X (zf) X (10*20) (8*8) 3 5 A/A

F/F 8/8 3/3 (A/B) (B/X) (8/5) (3/8) x A 3 5 A/A 8/8 B/B 10/10 3 8 X A x n n x 2 3 3 2