Question 637367
{{{ 2^(5/2) - 2^(3/2) }}}
This is the same as
{{{ ( 2^(1/2))^5 - ( 2^(1/2))^3 }}}
Factor out {{{  ( 2^(1/2))^3 }}}
{{{  ( 2^(1/2))^3 *( 2^(1/2)^2 - 1 ) }}}
{{{ ( 2^(1/2))^3 *( 2 - 1 ) }}}
{{{ 2^(3/2) }}}
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check:
{{{ 2^(5/2) - 2^(3/2) = 2^(3/2) }}}
{{{ 2^(5/2) = 2*2^(3/2) }}}
{{{ 2^(5/2) = 2^(2/2)*2^(3/2) }}}
{{{ 2^(5/2) = 2^(5/2) }}}
OK