Question

срочно ребята срочно плис пожалуста очень надо дам 57 балов​

Answer 1

Ответ:

3)

$- 35x {}^{3} y {}^{4}$

4)

$0.04x {}^{3} y {}^{8}$

5)

$x {}^{12}$

6)

$- 8x {}^{3} y {}^{9} z {}^{3}$

7) а)

$4$

б)

$26353376$

8)

$0.1x {}^{22} y {}^{26}$

Объяснение:

3)

$5x {}^{2} y \times ( - 7)xy {}^{3} = \\ = 5 \times ( - 7) \times x {}^{2 + 1} \times y {}^{1 + 3} = \\ = - 35x {}^{3} y {}^{4}$

4)

$( - 0.2x {}^{3} y {}^{4} ) {}^{2} = \\ = ( - 0.2) {}^{2} \times x {}^{3 \times 2} \times y {}^{4 \times 2} = \\ = 0.04x {}^{6} y {}^{8}$

5)

$x {}^{8} \times x {}^{6} \div x {}^{2} = \\ = x {}^{8 + 6 - 2} = x {}^{12}$

6)

$( - 2xy {}^{3} z) {}^{3} = \\ = ( - 2) {}^{3} \times x {}^{1 \times 3} \times y {}^{3 \times 3} \times z {}^{1 \times 3} = \\ = - 8x {}^{3} y {}^{9} z {}^{3}$

7)

а)

$\frac{2 {}^{12} \times 2 {}^{2} }{64 {}^{2} } = \frac{2 {}^{12} \times 2 {}^{2} }{(2 {}^{6}) {}^{2} } = \\ = \frac{2 {}^{12} \times 2 {}^{2} }{2 {}^{12} } = 2 {}^{2} = 4$

б)

$\frac{8 {}^{4} \times 49 {}^{4} }{14 {}^{7} } = \frac{(2 {}^{3}) {}^{4} \times (7 {}^{2} ) {}^{4} }{(2 \times 7) {}^{7} } = \\ = \frac{2 {}^{12} \times 7 {}^{14} }{(2 {}^{7} ) \times (7 {}^{7} )} = \\ = 2 {}^{12 - 7} \times 7 {}^{14 - 7} = \\ = 2 {}^{5} \times 7 {}^{7} = \\ = 32 \times 823543 = \\ = 26353376$

8)

$(10x {}^{2} y {}^{6} ) {}^{3 } \times \\ \times ( - 0.1x {}^{4} y {}^{2} ) {}^{4} = \\ = 10 {}^{3} \times x {}^{2 \times 3} \times y {}^{6 \times 3} \times ( - 0.1) {}^{4} \times x {}^{4 \times 4} \times y {}^{2 \times 4} = \\ = 1000 \times x {}^{6} \times y {}^{18} \times 0.0001 \times x {}^{16} \times y {}^{8} = \\ = 1000 \times 0.0001 \times x {}^{6 + 16} \times y {}^{18 + 8} = \\ = 0.1x {}^{22} y {}^{26}$