Question 84532
{{{((2x)^2)((4x)^4)((8x)^6)}}} Start with the given expression


{{{(2^2x^2)(4^4x^4)(8^6x^6)}}} Distribute the exponent


{{{(2^2*4^4*8^6)(x^2x^4x^6)}}} Group like terms


{{{(2^2*(2^2)^4*(2^3)^6)(x^2x^4x^6)}}} Rewrite the base 4 as {{{2^2}}} and 8 as {{{2^3}}}


{{{(2^2*2^(2*4)*2^(3*6))(x^2x^4x^6)}}} Multiply the exponents


{{{(2^2*2^8*2^18)(x^2x^4x^6)}}} 


{{{(2^(2+8+18))(x^(2+4+6))}}} Now that we have similar bases, add the exponents


{{{(2^28)(x^12)}}} So this is your answer