Question

calcule o resultado de: a) 25^1/2
B) 625^1/4

C)8^4/3

D)32^1/5
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Answer 1

a)

${25}^{ \frac{1}{2} } = {( {5}^{2}) }^{ \frac{1}{2} } = {5}^{ \cancel2. \frac{1}{ \cancel2} } = 5$

b)

${625}^{ \frac{1}{4} } = { ({5}^{4} )}^{ \frac{1}{4} } = {5}^{ \cancel4. \frac{1}{ \cancel4} } = 5$

c)

${8}^{ \frac{4}{3} } = { ({2}^{3}) }^{ \frac{4}{3} } = {2}^{ \cancel3. \frac{4}{ \cancel3} } = {2}^{4} = 16$

d)

${32}^{ \frac{1}{5} } = {( {2}^{5})}^{ \frac{1}{5} } = {2}^{ \cancel5. \frac{1}{\cancel5} } = 2$