10 de puncte și coronițaaa
Efectuati ridicarea la putere:a) (6/7)²;b)(-3/4)³c)(4/5)⁴d)(3⁴•5³/2 la puterea 5/2la puterea 5)²


Răspuns :

a) [tex]( \frac{6}{7} )^{2} = \frac{6^{2}}{7^{2}} = \frac{36}{49} [/tex]
b) [tex] (\frac{-3}{4})^{3} = \frac{(-3)^{3}}{4^{3}}= \frac{-27}{64} [/tex]
c)[tex] (\frac{4}{5} )^{4} = \frac{4^{4}}{5^{4}} = \frac{256}{625} [/tex]
d)[tex] (\frac{ 3^4*5^3 }{2^5})^{2}=( \frac{3^3*3*5^3}{2^5})^2 =( \frac{15^3*3}{2^5})^2= (\frac{15^3*3*15^3*3}{2^5*2^5}) = (\frac{15^6*3^2}{2^{10}} ) = \frac{3^6*5^6*3^2}{2^{10}}= [/tex][tex]= \frac{3^8*5^6}{2^{10}} [/tex]