Question

Va rooooooog eu trebuie sa mă pregătesc pt un mini test care e cu nota!!!Dau coroana!!!Urgeeent!

Answer 1

$\it 1.\\ \\ \dfrac{1}{64}\cdot \Big(\dfrac{1}{2}\Big)^5=\Big(\dfrac{1}{2}\Big)^6\cdot\Big(\dfrac{1}{2}\Big)^5=\Big(\dfrac{1}{2}\Big)^{11}\\ \\ \\ \Big(3\dfrac{2}{5}\Big)^5 \cdot \Big(3\dfrac{2}{5}\Big)^{14}=\Big(\dfrac{17}{5}\Big)^{19}$

$\it 2.\\ \\ a)\ \ \Big[\Big(\dfrac{1}{2}\Big)^2+\Big(\dfrac{1}{3}\Big)^2\Big]^2=\Big(\dfrac{^{9)}1}{\ 4}+\dfrac{^{4)}1}{\ 9}\Big)^2=\Big(\dfrac{5}{36}\Big)^2=\dfrac{25}{1296}\\ \\ \\ b)\ \ \Big[\Big(\dfrac{3}{7}\Big)^2+\Big(\dfrac{2}{7}\Big)^2\Big]^2:\dfrac{5}{7}=\Big(\dfrac{9}{49}-\dfrac{4}{49}\Big)\cdot\dfrac{7}{5}=\dfrac{5}{49}\cdot\dfrac{7}{5}=\dfrac{1}{7}$