\(1,\\ a,a^m\cdot a^n=a^{m+n}\left(m,n\in N\right)\\ b,4^2\cdot4^3=4^5=...\\ 2,\\ H=\left\{0;1;2;...;45\right\}\\ H=\left\{x\in N|x< 46\right\}\\ Có:45-1+1=45\left(phần.tử\right)\\ 3,\\ a,=200-\left[\left(30:5+9\right)\cdot4\right]=200-\left(15\cdot4\right)=200-60=140\\ b,=18\left(24+76\right)-130=18\cdot100-130=1800-130=1670\\ 4,\\ a,\Rightarrow7x=161\Rightarrow x=23\\ b,\Rightarrow x+8=200\Rightarrow x=192\\ c,\Rightarrow5^x=44+81=125=5^3\Rightarrow x=3\\ 5,\\ =\dfrac{\left(179+103\right)\left[\left(179-103\right):2+1\right]}{2}=\dfrac{282\cdot39}{2}=5499\)