Verified answer

Ответ:

1) -1

2) 16

Объяснение:

[tex](y^{a})^{b} = y^{a * b}[/tex]

[tex]y^{a} * y^{b} = y^{a +b}[/tex]

[tex]y^{a} : y^{b} = y^{a - b}[/tex]

----------------------------------------------------------------------------------------------------------

[tex]\bold {1)} \ (y^{4} )^{5} : (y^{9} )^{2} \cdot y^{3} = y^{4 \cdot 5} : y^{9 \cdot 2} \cdot y^{3} = y^{20} : y^{18} \cdot y^{3}[/tex]

[tex]y^{20} : y^{18} \cdot y^{3} = y^{20 - 18} \cdot y^{3} = y^{2} \cdot y^{3}[/tex]

[tex]y^{2} \cdot y^{3} = y^{2 + 3} = y^{5}[/tex]

При у = -1:

(-1)⁵ = -1

----------------------------------------------------------------------------------------------------------

[tex]\bold {2)} \ (z^{3} )^{9} : (z^{4} )^{6} \cdot z = z^{3 \cdot 9} : z^{4 \cdot 6} \cdot z[/tex]

[tex]z^{3 \cdot 9} : z^{4 \cdot 6} \cdot z = z^{27} : z^{24} \cdot z[/tex]

[tex]z^{27} : z^{24} \cdot z = z^{27 - 24} \cdot z = z^{3} \cdot z[/tex]

[tex]z^{3} \cdot z =z^{4}[/tex]

При z = -2:

(-2)⁴ = 16