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zapisz w postaci potęgi liczby 10.
a. 10009 b.10018 c.1000500 d.(100⁷)⁸​


Odpowiedź :

Cześć!

Zapisz w postaci potęgi liczby 10.

Szczegółowe wyjaśnienie:

a)

[tex]10 {}^{9} = (10 {}^{3} ) {}^{9} = 10 {}^{3 \cdot9} = 10 {}^{27} [/tex]

b)

[tex]100 {}^{18} = (10 {}^{2} ) {}^{18} = 10 {}^{2 \cdot18} = 2 {}^{36} [/tex]

c)

[tex]100 {}^{500} = (10 {}^{2} ) {}^{500} = 10 {}^{2 \cdot500} = 10 {}^{1000} [/tex]

d)

[tex](100 {}^{7} ) {}^{8} = ((10 {}^{2} ) {}^{7} ) {}^{8} = 10 {}^{2 \cdot7 \cdot8} = 10 {}^{112} [/tex]