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2¹⁰×5⁹+2⁹×5⁸
a.100
b.120
c.180
d.150
AM NEVOIE DE RASPUNS RAPID!!!!!DAU COROANA​


Răspuns :

Răspuns: [tex]\red{\underline{\bf 22\cdot 10^8}}[/tex]

Explicație pas cu pas:

[tex]\bf 2^{10}\cdot5^{9} + 2^{9}\cdot5^{8} =[/tex]

[tex]\bf 2^{9}\cdot5^{8}\cdot \big (2^{10-9}\cdot5^{9-8} + 2^{9-9}\cdot5^{8-8} \big)=[/tex]

[tex]\bf 2^{9}\cdot5^{8}\cdot \big (2^{1}\cdot5^{1} + 2^{0}\cdot5^{0} \big)=[/tex]

[tex]\bf 2^{9}\cdot5^{8}\cdot \big (2\cdot5 + 1\cdot1 \big)=[/tex]

[tex]\bf 2^{9}\cdot5^{8}\cdot \big (10 + 1\big)=[/tex]

[tex]\bf 2^{9}\cdot5^{8}\cdot 11=[/tex]

[tex]\bf 2^{8}\cdot 2\cdot5^{8}\cdot 11=10^8\cdot2\cdot11[/tex]

[tex]\red{\underline{\bf 22\cdot 10^8}}[/tex]