Popeisamiraid
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21. Calculaţi oral utilizând regulile de calcul al puterilor:
a) (3²)⁵:(3⁴×3³)=?
b) (10²)³:10⁴=?
c) (4¹²× 3¹²):(4×3)⁹=?
d) (7²)⁵:7⁸×10=?
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Răspuns :

AnnaIleanaid

Răspuns:

a) (3²)⁵:(3⁴×3³)=

[tex]3^{10} :3^{7} =3^{3} =27[/tex]

b) (10²)³:10⁴=

[tex]10^{6} :10^{4} =10^{2} =100[/tex]

c) (4¹²× 3¹²):(4×3)⁹=

[tex](4^{12} *3^{12} ):(4^{9} *3^{9})=4^{3} *3^{3} =64*27=1728[/tex]

d) (7²)⁵:7⁸×10=

[tex]7^{10} :7^{8} *10=7^{2} *10=49*10=490[/tex]

Sper ca te-am ajutat!

PutereDinuid

[tex]\bold{a)} \ (3^2)^5:(3^4\cdot 3^3)=3^{10}:3^7=3^3=27; \\ \bold{b)} \ (10^2)^3:10^4=10^6:10^4=10^2=100; \\ \bold{c)} \ (4^{12}\cdot 3^{12}):(4\cdot3)^9=12^{12}:12^9=12^3=1\ 728; \\ \bold{d)} \ (7^2)^5:7^8\cdot 10=7^{10}:7^8\cdot 10=7^2\cdot10=490.[/tex]

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