3¹⁸ × 8¹⁸ : (6¹⁶ × 4¹⁶) = ?

3¹⁷ × 7¹⁷ - 21¹⁷ = ?​


Răspuns :

Răspuns:

[tex]1)\\ 3 {}^{18} \times 8 {}^{18} \div (6 {}^{16} \times 4 {}^{16}) = \\ 3 {}^{18} \times 8 {}^{18} \div (6 \times 4) {}^{16} = \\ 3 {}^{18} \times 8 {}^{18} \div 24 {}^{16} = \\ \frac{3 {}^{18} \times 8 {}^{18} }{24 {}^{16} } = \\ \frac{3 {}^{18} \times 2 {}^{54} }{2 {}^{48} \times 3 {}^{16} } = \\ 3 {}^{2} \times 2 {} {}^{6} = \\ 9 \times 64 = \\ 576 \\ \\ 2) \\ 3 {}^{17} \times 7 {}^{17} - 21 {}^{17} = \\ (3 \times 7) {}^{17} - 21 {}^{17} = \\ 21 {}^{17} - 21 {}^{17} = \\ 0[/tex]

[tex]3^{18} \cdot8^{18} : (6^{16}\cdot4^{16})=[/tex]

[tex]3^{18}\cdot8^{18}:(6\cdot4)^{16}=[/tex]

[tex]3^{18}\cdot8^{18}:24^{16}=[/tex]

[tex](3\cdot8)^{18}:24^{16}=[/tex]

[tex]24^{18}:24^{16}=24^{18-16}=24^2=576[/tex]

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[tex]3^{17}\cdot7^{17}-21^{17}=[/tex]

[tex](3\cdot7)^{17}-21^{17}=[/tex]

[tex]21^{17}-21^{17}=0[/tex]