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Marlis2002viz Marlis2002viz · Answer 1

Odpowiedź:

;)

Szczegółowe wyjaśnienie:

a) 3^4 * 9^2= 3^4 * 3^4= 3^8

b) 4^5 * 8^3 = 2^10 * 2^9= 2^19

c) 8^3 * 2^5 = 2^9 * 2^5= 2^14

d) 125^7 : 25^10= 5^21 : 5^20= 5

e) (1/9)^4 : (1/3)^3= (1/3)^8 : (1/3)^3= (1/3)^5= 3^-5

f) 0,5^9 : (1/4)^4= (1/2)^9 : (1/2)^8= 1/2= 2^-1

g) 0,1^9 : 0,001^2= (1/10)^9 : (1/1000)^2= (1/10)^9 : (1/10)^6= (1/10)^3= 10^-3

h) 5^8/32 * 2^10/125 = 5^8/2^5 * 2^10/5^3= 5^5 * 2^5= 10^5

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Pawlinaprzemekviz Pawlinaprzemekviz · Answer 2

Odpowiedź:

Szczegółowe wyjaśnienie:

a) [tex]3^{4}[/tex] · [tex](3^{2})^{2}[/tex] =

b) [tex](2^{2} )^{5}[/tex] · [tex](2^{3} )^{3}[/tex] = [tex]2^{10}[/tex] · [tex]2^{9}[/tex] = [tex]2^{19}[/tex]

c) [tex](2^{3} )^{3}[/tex] : [tex]2^{5}[/tex] = [tex]2^{9} : 2^{5} = 2^{4}[/tex]

d) [tex](5^{3} )^{7} : (5^{2} )^{10} = 5^{21} : 5^{20} = 5^{1} = 5[/tex]

e) [tex]((\frac{1}{3} )^{2} )^{4} : (\frac{1}{3} ) ^{3} = (\frac{1}{3} )^{8} : (\frac{1}{3} )^{3} = (\frac{1}{3} )^{5}[/tex]

f) ( 0,5)[tex](\frac{1}{2}) ^{9} : ( (\frac{1}{2}) ^{2})^{4} = (\frac{1}{2})^{9} : (\frac{1}{2} )^{8} = (\frac{1}{2} )^{1} = \frac{1}{2}[/tex]

g) [tex](0,1^ )^{9} : (0,1 ^{3})^{2} = 0,1 ^{9} : 0,1 ^{6} = 0,1^{3}[/tex]

h) [tex]\frac{5^{8} }{2^{5} } * \frac{2^{10} }{5^{3} } = \frac{5^{8} }{5^{3} } * \frac{2^{10} }{2^{5} } = 5^{5} * 2^{5} = ( 5*2)^{5} = 10^{5}[/tex]