Question

Помогите пожалуйста решить

Answer 1

Ответ:

1) 32

2) 81

3) 25

4) 121

5)

$\frac{576}{169}$

6) 7

7) 0,04

8) 729

9) 32

10) 6

Объяснение:

1)

$2 {}^{2} \times 2 {}^{3} = 2 {}^{2 + 3} = 2 {}^{5} = 32$

2)

$3 {}^{15} \div 3 {}^{11} = 3 {}^{15 - 11} = 3 {}^{4} = \\ = 81$

3)

$5 {}^{9} \times 5 {}^{3} \div 5 {}^{10} = 5 {}^{9 + 3 - 10} = \\ = 5 {}^{2} = 25$

4)

$11 {}^{11} \div 11 {}^{10} \times 11 = \\ = 11 {}^{11 - 10 + 1} = 11 {}^{2} = 121$

5)

$(1 \frac{11}{13} ) {}^{17} \div (1 \frac{11}{13} ) {}^{16} \times 1 \frac{11}{13} = \\ = (1 \frac{11}{13} ) {}^{17 - 16 + 1} = (1 \frac{11}{13} ) {}^{2} = \\ = ( \frac{24}{13} ) {}^{2} = \frac{576}{169}$

6)

$\frac{7 {}^{15} \div 7 {}^{12} }{7 {}^{2} } = \frac{7 {}^{15 - 12} }{7 {}^{2} } = \frac{7 {}^{3} }{7 {}^{2} } = \\ = 7 {}^{3 - 1} = 7$

7)

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

8)

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

9)

$256 \div 2 {}^{5} \times 2 {}^{2} = \\ = 2 {}^{8} \div 2 {}^{5} \times 2 {}^{2} = \\ = 2 {}^{8 - 5 + 2} = 2 {}^{5} = 32$

10)

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