Verified answer

Ответ:

1)

а)

[tex] - \frac{35}{2} a {}^{3} b {}^{3} c {}^{7} [/tex]

б)

[tex]x {}^{3} y[/tex]

в)

[tex] - 8m {}^{2} n {}^{4} [/tex]

г)

[tex]6.75p {}^{5} q {}^{2} [/tex]

2)

1)

[tex] - \frac{1}{125} k {}^{6} l {}^{12} [/tex]

2)

[tex]0.0001a {}^{2} b {}^{14} c {}^{6} [/tex]

Объяснение:

1)

а)

[tex]2 \frac{1}{2} a {}^{2} b {}^{3} c {}^{4} \times ( - 7)ac {}^{3} = \\ = \frac{5}{2} \times ( - 7) \times a {}^{2 + 1} \times b {}^{3} \times c {}^{4 + 3} = \\ = - \frac{35}{2} a {}^{3} b {}^{3} c {}^{7} [/tex]

б)

[tex] - 5x {}^{2} y \times ( - \frac{1}{5} )x = \\ = - 5 \times ( - \frac{1}{5} ) \times x {}^{2 + 1} \times y = \\ = x {}^{3} y[/tex]

в)

[tex]mn {}^{3} \times ( - 8)mn = \\ = ( - 8) \times m {}^{1 + 1} \times n {}^{3 + 1} = \\ = - 8m {}^{2} n {}^{4} [/tex]

г)

[tex] - 2.25p {}^{3} q {}^{2} \times ( - 3)p {}^{2} = \\ = ( - 2.25) \times ( - 3) \times p {}^{3 + 2} \times q {}^{2} = \\ = 6.75p {}^{5} q {}^{2} [/tex]

2)

1).

[tex]( - \frac{1}{5} k {}^{2} l {}^{4} ) {}^{3} = ( - \frac{1}{5} ) {}^{3} \times \\ \times k {}^{2 \times 3} \times l {}^{4 \times 3} = \\ = - \frac{1}{125} k {}^{6} l {}^{12} [/tex]

2)

[tex]( - 0.01ab {}^{7} c {}^{3} ) {}^{2} = \\ = ( - 0.01) {}^{2} \times a {}^{2} \times b {}^{7 \times 2} \times c {}^{3 \times 2} = \\ = 0.0001a {}^{2} b {}^{14} c {}^{6} [/tex]

Ответ:

Объяснение:

a) [tex]-\frac{35}{2} a^{3} b^{3} c^{7}[/tex]

б)[tex]x^{3} y[/tex]

в) [tex]-8m^{2} n^{4}[/tex]

г)[tex]6,75p^{7} q^{2}[/tex]

2.

[tex]-\frac{1}{125} k^{6} l^{12} ;[/tex]                   [tex]0,0001a^{2} b^{14} c^{6}[/tex]