Question

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Answer 1

Ответ:

57)

1) 19683

2) 8

3) 125

4) 841

5) -343/27

6) 16807

7) 0,16

8) 729

9) 16

10) 16

Объяснение:

57)

1)

$3 {}^{4} \times 3 {}^{5} = 3 {}^{4 + 5} = 3 {}^{9} = \\ = 19683$

2)

$2 {}^{5} \div 2 {}^{2} = 2 {}^{5 - 2} = 2 {}^{3} = 8$

3)

$5 {}^{11} \times 5 {}^{7} \div 5 {}^{15} = \\ = 5 {}^{11 + 7 - 15} = 5 {}^{3} = \\ = 125$

4)

$29 {}^{10} \times 29 { \\ }^{6} \div 29 {}^{14} = \\ = 29 {}^{10 + 6 - 14} = 29 {}^{2} = \\ = 841$

5)

$( - 2 \frac{1}{3} ) {}^{24} \div ( - 2 \frac{1}{3} ) {}^{22} \times \\ \times ( - 2 \frac{1}{3} ) = \\ = ( - 2 \frac{1}{3} ) {}^{24 - 22 + 1} = \\ = ( - 2 \frac{1}{3} ) {}^{3} = \\ = ( - \frac{7}{3} ) {}^{3} = - ( \frac{7 {}^{3} }{3 {}^{3} } ) = \\ = - \frac{343}{27}$

6)

$\frac{7 {}^{16} \times 7 {}^{6} }{7 {}^{17} } = 7 {}^{16 + 6 - 17} = \\ = 7 {}^{5} = 16807$

7)

$\frac{0.4 {}^{12} \times 0.4 {}^{14} }{0.4 {}^{5} \times 0.4 {}^{19} } = \frac{0.4 {}^{12 + 14} }{0.4 {}^{5 + 19} } = \\ = \frac{0.4 {}^{26} }{0.4 {}^{24} } = 0.4 {}^{26 - 24} = \\ = 0.4 {}^{2} = 0.16$

8)

$3 {}^{3} \times 27 = 3 {}^{3} \times 3 {}^{3} = \\ = 3 {}^{3 + 3} = 3 {}^{6} = \\ = 729$

9)

$128 \times 2 {}^{2} \div 2 {}^{5} = \\ = 2 {}^{7} \times 2 {}^{2} \div 2 {}^{5} = \\ = 2 {}^{7 + 2 - 5} = 2 {}^{4} = \\ = 16$

10)

$\frac{4 {}^{10} }{4 {}^{5} \times 64} = \frac{4 {}^{10} }{4 {}^{5} \times 4 {}^{3} } = \frac{4 {}^{10} }{4 {}^{8} } = \\ = 4 {}^{10 - 8} = 4 {}^{2} = 16$