Question

Calculati:
Va rog frumos imi trebuie urgent!!!!

Answer 1

urmărește imaginea ....

Answer 2

$a) \frac{2^{6}}{ (2^{-5}*8)^{-2}} = \\ \\ = \frac{2^{6}}{(2^{-5}*2^{3})^{-2}} \\ \\ =\frac{2^{6}}{(2^{-2})^{-2}}= \\ \\ \frac{2^{6}}{2^{-4}}= \\ \\ 2^{6}*{2^{4}=2^{6-4}=2^{2}=4$

c)

$\frac{9^{-4}*4^{-4}}{2^{-9}*3^{-9}}= \\ \\ 3^{(2*-4)}*2^{(2*-4)} *2^{9}*3^{9}= \\ \\ 3^{-8}*2^{-8}* 2^{9} *3^{9}= \\ \\ 2^{9-8}*3^{9-8}=2*3=6$

$f) \frac{ 6^{-10}}{(3^{4})^{-2}*(2^{5})^{-2}} = \\ \\ \frac{2^{-10}*3^{-10}}{3^{-8}*2^{-10}}= \\ \\ 2^{-10}* 2^{10}*3^{-10}*3^{8}= \\ \\ = 3^{-2}$

$g) \frac{(3*5)^{-3} }{(3^{2})^{-2}*(5^{3})^{-4}}= \\ \\ \frac{3^{-3}*5^{-3}}{3^{-4}*5^{-12}}= \\ \\ 3^{-3}*5^{-3}}*3^{4}*5^{12}}= \\ \\ 3^{4-1}*5^{12-3}= \\ \\ =3^{3}*5^{9}$