Question

29.Scrieți ca puteri cu aceași exponent:




(Urgent vă dau coroana și 30 puncte și 5 stele)
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Answer 1

Răspuns:

Explicație pas cu pas:

5^30 = (5^3)^10 = 125^10

7^20 = (7^2)^10 = 49^10

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(1/5)^24 = [(1/5)^2]^12 = (1/25)^12

(2/3)^36 = [(2/3}^3]^12 = (8/27)^12

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(1/7)^28 = [(1/7)^4]^7 = (1/2401)^7

(3/4)^21 = [(3/4)^3]^7 = (27/64)^7

Answer 2

$\bf a)\\ \\ 5^{30}=(5^3)^{10}=125^{10}\\ \\ 7^{20}=(7^2)^{10}=49^{10}\\ \\ \\ b)\ \Big(\dfrac{1}{5}\Big)^{24} = \Big[\Big(\dfrac{1}{5}\Big)^4\Big]^6=\Big(\dfrac{1}{625}\Big)^{6}\\ \\ \\ \Big(\dfrac{2}{3}\Big)^{36} =\ \Big[\Big(\dfrac{2}{3}\Big)^6\Big]^6=\Big(\dfrac{64}{729}\Big)^{6}\\ \\ \\ c)\ \Big(\dfrac{1}{7}\Big)^{28} = \Big[\Big(\dfrac{1}{7}\Big)^4\Big]^7=\Big(\dfrac{1}{2401}\Big)^{7}\\ \\ \\ \Big(\dfrac{3}{4}\Big)^{21} =\ \Big[\Big(\dfrac{3}{4}\Big)^3\Big]^7=\Big(\dfrac{27}{64}\Big)^{7}$