a)
2^8:2^2=2^{8-2}=2^6=64
b)
\frac{3^4}{3^2}=3^{4-2}=3^2=9
c)
(-4)^6:(-4)^4=(-4)^{6-4}=(-4)^2=16
d)
10^{10}:10^4=10^{10-4}=10^6=1000000
e)
(-\frac{1}{2})^4:(-\frac{1}{2})^3=(-\frac{1}{2})^{4-3}=(-\frac{1}{2})^1=-\frac{1}{2}
f)
(-1)^{41}:(-1)^{18}=(-1)^{23}=-1
g)
\frac{6^3}{6^0} =6^{3-0}=6^3=216
h)
0,1^9:0,1^6=0,1^{9-6}=0,1^3=0,001
2.2
Zapisz iloraz w postaci jednej potęgi.
a)
a^9:a^5=a^{9-5}=a^4
b)
\frac{x^{15}}{x^8}=x^{15-8}=x^7
c)
k^{100}:k^{50}=k^{100-50}=k^{50}
d)
\frac{d^{12}}{d^{12}}=d^{12-12}=d^0