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c) (3 la puterea 19 *25 la puterea 9 totul la puterea 2 / 15 la puterea 36

Răspuns :

[tex](3^{19}*25^9)^2:15^{36}=[/tex]

[tex](3^{19})^2*[(5^2)^9]^2:(3*5)^{36}=[/tex]

[tex]3^{38}*5^{36}:(3^{36}*5^{36)=[/tex]

[tex]3^{38-36}*5^{36-36}=[/tex]

[tex]3^2*1=[/tex]

[tex]9[/tex]
[tex](3^{19}*25^{9})^2 :15^{36}=\\\\ =(3^{19}*5^{18})^2:(3^6 * 5^{36})\\\\ =(3^{38}*5^{36}):3^6 * 5^{36})\\\\ =3^2\\\\ =9. [/tex]