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©T b2q0u1B22 fKguvtvaJ 5SJozfFt4wRadrue3 lLDLxCC.U p rADlyl2 xreiEgShOtPso trveGsneorSvqeTdw.K G FM6akdgeP dwFiqtLh5 qIenYfHiLn6iftAew hPTrFeq-LAvlSgReybmrmaS.R Worksheet by <strong>Kuta</strong> S<strong>of</strong>tware LLC <strong>Kuta</strong> S<strong>of</strong>tware - Infinite Pre-Algebra Name___________________________________ <strong>Powers</strong> <strong>of</strong> <strong>Products</strong> <strong>and</strong> <strong>Quotients</strong> Simplify. Your answer should contain only positive exponents. 1) (3a 2 ) 3 2) (2n 4 ) 4 Date________________ Period____ 3) (3x 4 ) 4 4) (6b 2 ) 2 5) (7y 4 ) 2 6) (3ab 4 ) 4 7) (2x 4 y 4 ) 3 8) (5mn 3 ) 3 9) (x 2 y 2 ) 2 10) (6yx 4 ) 2 11) (u 4 v 3 ) 2 12) (2x 4 y 4 ) 4 13) (3x 2 ⋅ 2x 2 ) 2 14) (2 p 3 ⋅ 2 p) 2 15) (4n 3 ⋅ n 2 ) 2 16) (3x ⋅ 2x) 2 17) (4x 4 ⋅ x 4 ) 3 18) (4n 4 ⋅ n) 2
Delete template? Are you sure you want to delete your template? Save as template? What is power of a product rule?This rule states that if two powers are being multiplied, and if their bases are equal, then the product of the powers will have the same base as the powers being multiplied, and it will be raised to an exponent equal to the sum of the exponents over the powers being multiplied.
What is the power of a quotient property?Quotient of powers
This property states that when dividing two powers with the same base, we subtract the exponents.
How do you multiply powers?When you're multiplying exponents, use the first rule: add powers together when multiplying like bases. 5^2 × 5^6 = ? The bases of the equation stay the same, and the values of the exponents get added together.
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