Question 650133
{{{ ((2^2)^3 * g^4 * h^4)^3 }}}
Whenever you have parentheses, work from
the inside out.
So start with {{{ (( 2^2 ))^3 }}}
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The general rule for this is:
{{{ (a^b)^c = a^(b*c) }}}, so
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{{{ (( 2^2 ))^3  = 2^6 }}}
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Now you have:
{{{ ( 2^6 * g^4 * h^4)^3 }}}
Note that {{{ 2^6 = 2^2 * 2^4 }}}
{{{ ( 2^2 *2^4 * g^4 * h^4)^3 }}}
{{{ ( 2^2 * ( 2*g*h )^4 )^3 }}}
{{{ 2^6 * ( 2*g*h )^12 }}} answer
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You can check this by filling in any 
numbers for {{{g}}} and {{{h}}}
{{{ g = 2 }}}
{{{ h = 3 }}}
{{{ ((2^2)^3 * g^4 * h^4)^3 }}}
{{{ ((2^2)^3 * 2^4 * 3^4)^3 }}}
{{{ ( 4^3 * 16 * 81 )^3 }}}
{{{ ( 64 * 1296 )^3 }}}
{{{ 82944^3 }}}
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Plug in same numbers for answer:
{{{ 2^6 * ( 2*g*h )^12 }}}
{{{ 2^6 * ( 2*2*3 )^12 }}}
{{{ 2^6 * 12^12 }}}
{{{ 2^6 * 12^6 * 12^6 }}}
{{{ ( 2*12*12 )^6 }}}
This should be the same as
{{{ ( 2^2 * 12^2 * 12^2 )^3 }}}
{{{ ( 4*144*144 )^3 }}}
{{{ 82944^3 }}}
This doesn't PROVE the answer's right
but there is a better than even chance