Để tính giá trị các biểu thức trong bài tập này, chúng ta sẽ giải từng phần một:

a) \(\left(\frac{1}{2}\right)^3 \cdot 4 + \frac{3}{4}\)
\[
\left(\frac{1}{2}\right)^3 = \frac{1}{8}
\]
\[
\frac{1}{8} \cdot 4 = \frac{4}{8} = \frac{1}{2}
\]
\[
\frac{1}{2} + \frac{3}{4} = \frac{2}{4} + \frac{3}{4} = \frac{5}{4}
\]

b) \(4^3 \cdot 2^5 + 3^5 \cdot 9^2\)
\[
4^3 = 64
\]
\[
2^5 = 32
\]
\[
64 \cdot 32 = 2048
\]
\[
3^5 = 243
\]
\[
9^2 = 81
\]
\[
243 \cdot 81 = 19683
\]
\[
2048 + 19683 = 21731
\]

c) \(2024^0 - \left(\frac{1}{3}\right)^5 \cdot 3^5 \cdot \left(-\frac{1}{2}\right)^4\)
\[
2024^0 = 1
\]
\[
\left(\frac{1}{3}\right)^5 = \frac{1}{243}
\]
\[
3^5 = 243
\]
\[
\left(-\frac{1}{2}\right)^4 = \frac{1}{16}
\]
\[
\frac{1}{243} \cdot 243 \cdot \frac{1}{16} = \frac{1}{16}
\]
\[
1 - \frac{1}{16} = \frac{16}{16} - \frac{1}{16} = \frac{15}{16}
\]

d) \(\left(\frac{1}{2}\right)^2 - \frac{3}{5} \cdot (0,2)^2 - \frac{5}{2}\)
\[
\left(\frac{1}{2}\right)^2 = \frac{1}{4}
\]
\[
(0,2)^2 = 0,04
\]
\[
\frac{3}{5} \cdot 0,04 = \frac{3 \cdot 0,04}{5} = \frac{0,12}{5} = 0,024
\]
\[
\frac{1}{4} - 0,024 - \frac{5}{2} = 0,25 - 0,024 - 2,5 = -2,274
\]

e) \(\left(1 - \frac{1}{3}\right)^{12} \cdot \left(\frac{2}{3}\right)^{10} - \frac{4}{9} - 2023^0\)
\[
1 - \frac{1}{3} = \frac{2}{3}
\]
\[
\left(\frac{2}{3}\right)^{12} \cdot \left(\frac{2}{3}\right)^{10} = \left(\frac{2}{3}\right)^{22}
\]
\[
2023^0 = 1
\]
\[
\left(\frac{2}{3}\right)^{22} - \frac{4}{9} - 1
\]

f) \(40\% - \left(-\frac{2}{3}\right) \cdot \frac{3}{2} + \left(-\frac{1}{2}\right)^2\)
\[
40\% = 0,4
\]
\[
-\left(-\frac{2}{3}\right) \cdot \frac{3}{2} = \frac{2}{3} \cdot \frac{3}{2} = 1
\]
\[
\left(-\frac{1}{2}\right)^2 = \frac{1}{4}
\]
\[
0,4 - 1 + \frac{1}{4} = 0,4 - 1 + 0,25 = -0,35
\]

g) \(\frac{3^5 \cdot 10^3 \cdot 9^3}{(-15)^9 \cdot 7^{10}}\)
\[
3^5 = 243
\]
\[
10^3 = 1000
\]
\[
9^3 = 729
\]
\[
(-15)^9 = -38443359375
\]
\[
7^{10} = 282475249
\]
\[
\frac{243 \cdot 1000 \cdot 729}{-38443359375 \cdot 282475249}
\]

h) \(\frac{10^3 + 2,5^3 + 5^3}{55}\)
\[
10^3 = 1000
\]
\[
2,5^3 = 15,625
\]
\[
5^3 = 125
\]
\[
1000 + 15,625 + 125 = 1140,625
\]
\[
\frac{1140,625}{55} = 20,74
\]

Vậy các giá trị của các biểu thức là:
a) \(\frac{5}{4}\)
b) \(21731\)
c) \(\frac{15}{16}\)
d) \(-2,274\)
e) \(\left(\frac{2}{3}\right)^{22} - \frac{4}{9} - 1\)
f) \(-0,35\)
g) \(\frac{3^5 \cdot 10^3 \cdot 9^3}{(-15)^9 \cdot 7^{10}}\)
h) \(20,74\)