Risolvere le seguenti espressioni applicando le proprietà delle potenze.

a) $2^{4}\cdot 2^{3}=2^{4+3}=2^7$;

b) $2^{5} : 2^{3}=2^{5-3}=2^2$;

c) $4^{5} \cdot 2^{5}=(4\cdot 2)^5=8^5$;

d) $4^{5} : 2^{5}=(4: 2)^5=2^5$;

e) $(5^{2})^3=5^{2\cdot 3}=5^6$;

f) $(5^{20}\cdot 5^{30}:5^{48})^4=(5^{2})^4=5^8$;

g) $(2^{20}\cdot 2^{30}:2^{40})^4:(2^{20})^2-2^4:(2^2)^2=2^{40}:2^{40}-2^4:2^4=1-1=0$.