Find the value of the expression we use the following rules of the exponents:
[tex]\displaystyle{ i) \frac{a^b}{a^c}=a^{b-c}[/tex] for b>c
[tex]\displaystyle{ ii)\frac{a^b}{a^c}=\frac{1}{a^{c-b}}[/tex] for c>b
Using these 2 rules, we have:
[tex]\displaystyle{( \frac{(10^4)(5^2)}{(10^3)(5^3)} )^3=( \frac{10^{4-3}}{5^{3-2}} )^3= (\frac{10}{5})^3=2^3=8 [/tex]
