Ответ:
Ниже.
Пошаговое объяснение:
1)
[tex]5^{-3}*5=5^{(-3+1)}=5^{-2}=\frac{1}{5^2}=\frac{1}{25}[/tex]
2)
[tex](\frac{1}{2} )^{-8}*(\frac{1}{2} )^{5}=(\frac{1}{2} )^{(-8+5)}=\\\\=(\frac{1}{2} )^{-3}=2^3=8[/tex]
3)
[tex]7^{-15}:7^{-16}=7^{(-15-(-16))}=7^{1}=\\=7[/tex]
4)
[tex](\frac{1}{15})^{-15}:(\frac{1}{15})^{-15} =\\\\=(\frac{1}{15})^{(-15-(-15)}=(\frac{1}{15})^{0}=1[/tex]
5)
[tex]((\frac{1}{2})^{-1})^{-2}= (\frac{1}{2})^{-1*(-2)}=(\frac{1}{2})^{2}=\\\\=\frac{1}{4}[/tex]
6)
[tex]((\frac{1}{19} )^{-8})^{0}=1[/tex]
7)
[tex]0,2(\sqrt{5})^2 =0,2*5=1[/tex]
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Answers & Comments
Ответ:
Ниже.
Пошаговое объяснение:
1)
[tex]5^{-3}*5=5^{(-3+1)}=5^{-2}=\frac{1}{5^2}=\frac{1}{25}[/tex]
2)
[tex](\frac{1}{2} )^{-8}*(\frac{1}{2} )^{5}=(\frac{1}{2} )^{(-8+5)}=\\\\=(\frac{1}{2} )^{-3}=2^3=8[/tex]
3)
[tex]7^{-15}:7^{-16}=7^{(-15-(-16))}=7^{1}=\\=7[/tex]
4)
[tex](\frac{1}{15})^{-15}:(\frac{1}{15})^{-15} =\\\\=(\frac{1}{15})^{(-15-(-15)}=(\frac{1}{15})^{0}=1[/tex]
5)
[tex]((\frac{1}{2})^{-1})^{-2}= (\frac{1}{2})^{-1*(-2)}=(\frac{1}{2})^{2}=\\\\=\frac{1}{4}[/tex]
6)
[tex]((\frac{1}{19} )^{-8})^{0}=1[/tex]
7)
[tex]0,2(\sqrt{5})^2 =0,2*5=1[/tex]