Question

ПОМОГИТЕ ПОЖАЛУЙСТА СРОЧНО ПОЛНОЕ РЕШЕНИЕ​

Answer 1

Ответ:

1) 0,04 2) 729 3) 2 4) 6

Объяснение:

1)

$\frac{0.2 {}^{14} \times 0.2 {}^{9} }{0.2 {}^{15} \times 0.2 {}^{6} } = \frac{0.2 {}^{14 + 9} }{0.2 {}^{15 + 6} } = \\ = \frac{0.2 {}^{23} }{0.2 {}^{21} } = 0.2 {}^{23 - 21} = \\ = 0.2 {}^{2} = 0.04$

2)

$3 {}^{2} \times 81 = 3 {}^{2} \times 3 {}^{4} = \\ = 3 {}^{2 + 4} = 3 {}^{6} = 729$

3)

$\frac{256}{2 {}^{5} \times 2 {}^{2} } = \frac{2 {}^{8} }{2 {}^{5 + 2} } = \\ = \frac{2 {}^{8} }{2 {}^{7} } = 2 {}^{8 - 7} = 2 {}^{1} = \\ = 2$

4)

$\frac{6 {}^{7} }{6 {}^{3} \times 216} = \frac{6 {}^{7} }{6 {}^{3} \times 6 {}^{3} } = \\ = \frac{6 {}^{7} }{6 { }^{3 + 3} } = \frac{6 {}^{7} }{6 {}^{6} } = 6 {}^{7 - 6} = \\ = 6 {}^{1} = 6$