Question 641760
{{{ 2^(2x) * 4^(4x+8) =64 }}}

{{{ 2^(2x) * 2^2(4x+8) =2^6 }}}

{{{ 2^(2x) * 2^(8x+16) =2^6 }}}

{{{ 2^(2x+8x+16) =2^6 }}}

{{{ 2^(10x+16) =2^6 }}}

if base equal, exponents are equal too


{{{ 10x+16=6 }}}.

{{{ 10x=6-16 }}}

{{{ 10x=-10 }}}

{{{ x=-1 }}}


check:

{{{ 2^(2(-1)) * 4^(4(-1)+8) =64 }}}

{{{ 2^(-2) * 4^(-4+8) =64 }}}


{{{ (1/2^2) * 4^4 =64 }}}


{{{ (1/4) * 256 =64 }}}



{{{  256/4 =64 }}}



{{{ 64 =64 }}}