Question

Answer 1

\(a,=\dfrac{3^{20}\cdot5^{10}\cdot5^{10}}{3^{10}\cdot5^{20}}=3^{10}\\ b,=\left(\dfrac{0,8}{0,4}\right)^5\cdot\dfrac{1}{0,4}=\dfrac{2^5}{0,4}=\dfrac{32}{0,4}=80\\ c,=\dfrac{2^{15}\cdot3^8}{2^3\cdot3^3\cdot2^9}=2^3\cdot3^5=1944\\ d,=\dfrac{2^{30}+2^{20}}{2^{12}+2^{22}}=\dfrac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}=2^8=256\)