Find the following power. Write the answer in rectangular form.

$(2\sqrt[\phantom{2}]{2}-2\sqrt[\phantom{2}]{2}i{)}^{10}$

$(2\sqrt[\phantom{2}]{2}-2\sqrt[\phantom{2}]{2}i{)}^{10}=$

$($Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form a $+$ bi$.)$