Question

39. Calcule

Me ajudem a fazer estas lições (Preciso saber como faço a conta. CONTA!)

Answer 1

$a)~~64^{ \frac{1}{2} }= \sqrt{64} =8 \\ \\ b)~~400^{ \frac{1}{2} }= \sqrt{400} =20 \\ \\ c)~~8^{ \frac{2}{3} }= \sqrt[3]{8^2} = \sqrt[3]{(2^3)^2} = \sqrt[3]{2^6} =2^2=4 \\ \\ d)~~( \frac{16}{25} )^{ \frac{1}{2} }= \sqrt{ \frac{16}{25} } = \frac{4}{5} \\ \\ e)~~100^{0,5}=100^{ \frac{5}{10}} =100^{ \frac{1}{2} }= \sqrt{100} =10 \\ \\ f)~~625^{0,25}=625^{ \frac{25}{100} }=625^{ \frac{1}{4} }= \sqrt[4]{625} = \sqrt[4]{5^4} =5 \\ \\ g)~~32^{ \frac{1}{5}} = \sqrt[5]{32} = \sqrt[5]{2^5} =2$ 

$h)~~( \frac{8}{27} )^{ \frac{1}{3}})= \sqrt[3]{ \frac{8}{27} } = \sqrt[3]{ \frac{2^3}{3^3} } = \frac{2}{3}$