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1.Rezultatul calcului 2^3×3^3 cat este ? 2.Rezultatul calcului 5^27÷125 cat este ? 3.Ordonati crescator numerele 27^13, 3^37, 9^18, 81^2
Ma ajutati va rog urgent nu stiu cum se fac ​


Răspuns :

Răspuns:

[tex]1.)2^3*3^3=8*27=216\\\\2^3*3^3=(2*3)^3=6^3=216\\\\\\2.)5^{27} :125=5^{27} :5^3=5^{27-3} =5^{24} \\\\\\3.)27^{13} =(3^3)^{13} =3^{3*13} =3^{39} \\\\9^{18} =(3^2)^{18} =3^{36} \\\\81^2=(3^4)^2=3^8\\\\ordonam.crescator-81^2;9^{18};27^{13}[/tex]

1.

[tex]\it 2^3\cdot3^3=(2\cdot3)^3=6^3=6\cdot6\cdot6=216[/tex]

2.

[tex]\it 5^{27}:125=5^{27}:5^3=5^{27-3}=5^{24}[/tex]

3.

[tex]\it 27^{13}=(3^3)^{13}=3^{3\cdot13}=3^{39 } \\ \\ 3^{37}=3^{37} \\ \\ 9^{18}=(3^2)^{18}=3^{2\cdot18}=3^{36} \\ \\ 81^{2}=(3^4)^2=3^{4\cdot2}=3^{8}\\ \\ \\ 3^8 < 3^{36} < 3^{37} < 3^{39} \Rightarrow 81^2 < 9^{18} < 3^{37} < 27^{13}[/tex]