Zadanie 39
a)
8^x*(\frac{1}{4})^x=(8*\frac{1}{4})^x=2^x
b)
(\frac{3}{4})^x*12^x=(\frac{3}{4}*12)^x=12^x
c)
14^{-x}*0,1^{-x}=(14*0,1)^{-x}=1,4^{-x}
d)
(-2)^x*(0,5)^x=(-2*0,5)^x=(-1)^x
e)
7^x*(\frac{1}{14})^x*16^x=(7*\frac{1}{14}*16)^x=8^x
f)
9^x:6^x=(\frac{9}{6})^x=(\frac{3}{2})^x=1,5^x
g)
16^x:(\frac{1}{2})^x=(16:0,5)^x=32^x
h)
(-10)^x:0,1^x=(-10:0,1)^x=(-100)^x
i)
(\frac{3}{4})^{-x}:(\frac{5}{4})^{-x}=(\frac{3}{4}:\frac{5}{4})^{-x}=(\frac{3}{4}*\frac{4}{5})^{-x}=(\frac{3}{5})^{-x}
j)
(-1)^x:(\frac{3}{4})^x=(-1:\frac{3}{4})^x=(-1*\frac{4}{3})^x=(-\frac{4}{3})^x=(-1\frac{1}{3})^x