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Сила натуральной степени
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Презентация на тему Сила натуральной степени
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Arkalyk state pedagogical Institute named after Y. Altynsarin Theme: Power Prepared by: Shoibasov A. M-31. Checked by: Sarsenbaeva Zh. Arkalyk 2016
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" People unfamiliar with algebra can not imagine the wonderful things that can be achieved with the help of ... called science." G.W Leibniz
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Powers of a with natural exponent n is the product of n factors, each of which is equal to a.
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The degree of a, not equal to zero , with zero is equal to one
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For any number a and any positive integers m and n Multiplying powers with the same bases of the base is left unchanged , and the figures add up
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For any arbitrary natural number and m and n, such that m> n When dividing powers with the same base bases are left unchanged , and the dividend is subtracted from the index index divider
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For any numbers a and b and any positive integer n With the construction of the power works erected in the degree of each factor and multiply the results
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For any number and a random natural numbers m and n With the construction of the degree of the power base is left unchanged , and the figures are multiplied
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For any numbers a and b >0 and any positive integer n With the construction of the power fraction erected in the degree of the numerator and denominator of the fraction
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History of the number of degree In his famous book " Arithmetic " Diophantus of Alexandria described the first natural degree
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Rene Descartes in his "geometry" ( 1637 ) , we find the current designation of degrees а2,а3,...
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1. Follow these steps: х11∙х∙х2 ; х14 : х5 ; (а4)3 ; (-За)2. 2. Compare the expression to zero : ( - 5)7; (-6)18; (- 4)11. (-4)8 (- 5)18∙ (- 5)6; -(- 4)8. 3. Calculate the value of the expression : -1∙ 32; (-1 ∙ 3)2 1∙(-3)2; - (2 ∙ 3)2; 12 ∙ (-3)2
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Answers 1) 2ху∙ 3x2у5 1) - 5х4 у5 2) 3ху3∙ х3у6 2) – х 5 у10 z3 3) -0,6ас3 ∙ (-8)а2с4 3) 6a3 с5 4) -5а2с ∙ 2ас ∙ (-0,6с3) 4) 6х3у6 5) ху3z3 х ∙ х3у7 5) -9х4у6 z2 6) 4,8а3с7 7) 2х4 у9
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(1, 4) (2, 7) (3, 6) (4, 3) (5, 2 )
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Computational pause
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Compare without performing calculations. Find the correct inequalities. From their respective letters make up the name of the architect , the project is the building of the Bolshoi Theater in Moscow was built in 1825 :
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Find out how many shows a circle, if the shaded portion shows a specified number . A record in the form of a degree .
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