Question

3¹⁸ × 8¹⁸ : (6¹⁶ × 4¹⁶) = ?

3¹⁷ × 7¹⁷ - 21¹⁷ = ?​

Answer 1

Răspuns:

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

Answer 2

$3^{18} \cdot8^{18} : (6^{16}\cdot4^{16})=$

$3^{18}\cdot8^{18}:(6\cdot4)^{16}=$

$3^{18}\cdot8^{18}:24^{16}=$

$(3\cdot8)^{18}:24^{16}=$

$24^{18}:24^{16}=24^{18-16}=24^2=576$

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$3^{17}\cdot7^{17}-21^{17}=$

$(3\cdot7)^{17}-21^{17}=$

$21^{17}-21^{17}=0$