Zad.1
\frac{1}{10}*2\frac{3}{2}*5\frac{5}{2}=\frac{1}{10}*\frac{7}{2}*\frac{15}{2}=\frac{21}{8}=2\frac{5}{8}
Zad.2
a)
4-2^{-1}*(\frac{3}{5})^0=4-\frac{1}{2}*1=4-\frac{1}{2}=3\frac{1}{2}
b)
(7^{21}-7^{19}):49^9=(7^{21}-7^{19}):(7^2)^9=
=(7^{21}-7^{19}):7^{18}=7^{21}:7^{18}-7^{19}:7^{18}=7^3-7=343-7=336
c)
\sqrt{80}:\sqrt5=\sqrt{80:5}=\sqrt{16}=4
d)
25log5^2=
stosuję wzór
m*logb=logb^m
25log5^2=2*25log5=50log5
e)
log_33\sqrt3=log_3(3*3^{\frac{1}{2}})=log_33^{\frac{3}{2}}=\frac{3}{2}
f)
log_296-log_26=log_2(96:6)=log_216=log_22^4=4
g)
log_3(log1000)=log_33=1
h)
log_{\frac{1}{4}}18+log_{\frac{1}{4}}8-2log_{\frac{1}{4}}3=
=log_{\frac{1}{4}}(18*8)-log_{\frac{1}{4}}3^2=
=log_{\frac{1}{4}}144-log_{\frac{1}{4}}9=log_{\frac{1}{4}}(144:9)=
=log_{\frac{1}{4}}16=-2