4.
a)
[tex](-\frac{1}{2})^-^1=-\frac{2}{1} =-2[/tex]
b)
[tex](\frac{5}{4} )^-^2=(\frac{4}{5})^2=\frac{16}{25}[/tex]
c)
[tex](0,(6))^-^3=(\frac{2}{3} )^-^3=(\frac{3}{2} )^3=\frac{27}{8}[/tex]
d)
[tex](-1)^-^4=(-1)^4=1[/tex]
e)
[tex](\frac{1}{2})^-^5=2^5=32[/tex]
f)
[tex]3^-^6=(\frac{1}{3})^6=\frac{1}{3^6}[/tex]
g)
[tex](1,2)^-^3=(\frac{12}{10})^-^3=(\frac{5}{6} )^3[/tex]
h)
[tex](\frac{2}{3})^4\times (\frac{2}{3} )^-^2= (\frac{2}{3} )^2=\frac{4}{9}[/tex]
i)
[tex](\frac{4}{3} )^-^1^0\times (\frac{4}{3} )^8=(\frac{4}{3} )^-^2=(\frac{3}{4} )^2=\frac{9}{16}[/tex]
j)
[tex](-\frac{3}{2} )^-^2\times (-1,5)^2=(-\frac{3}{2} )^-^2\times (-\frac{3}{2} )^2=(-\frac{3}{2} )^0=1[/tex]
k)
[tex](-\frac{3}{2} )^0\times (-1,5)^0=1\times 1=1[/tex]
l)
[tex]0^{101}\times 101^0=0\times 1=0[/tex]
De retinut:
Orice fractie la putere negativa=se rastoarna fractia, iar puterea devine pozitiva
Orice numar la puterea 0 este egal cu 1
0 la orice putere=0
Daca avem aceeasi fractie sau acelasi numar, la inmultire puterile se aduna
