Question

simplify the following
${3}^{ \frac{1}{3} } . {3}^{ \frac{2}{5} }$
$({ \frac{4}{9} })^{ \frac{1}{2} }$
${2}^{ \frac{2}{3} } . {3}^{ \frac{2}{3} }$
$( {2}^{ \frac{1}{3} } )^{3}$
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Answer 1

$\fcolorbox{yellow}{pink}{Answer:}$

$1. \: {3}^{ \frac{1}{3} } \times {3}^{ \frac{1}{3} } = {3}^{ \frac{1}{3} + \frac{1}{3} } = {3}^{ \frac{2}{3} } \\ \\ 2. \: { (\frac{4}{9}) }^{ \frac{1}{2} } = \frac{ \sqrt{4} }{ \sqrt{9} } = \frac{2}{3} \\ \\ 3. \: {2}^{ \frac{2}{3} } \times {2}^{ \frac{2}{3} } = {2}^{ \frac{4}{3} } \\ \\ 4. \: { ({2}^{ \frac{1}{3} }) }^{3} = {2}^{3 \times \frac{1}{3} } = 2$

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