Question 1198058
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To make the work easier to follow, simplify each of the two exponential expressions before performing the division.<br>
{{{(32/128)^(3/4)=(1/4)^(3/4)=(2^(-2))^(3/4)=2^(-3/2)}}}<br>
{{{(1/64)^-0.5=64^0.5=8=2^3}}}<br>
Now perform the division.<br>
{{{(2^(-3/2))/(2^3)=2^((-3/2)-3)=2^(-9/2)}}}<br>
ANSWER (one of many possible forms): {{{2^(-9/2)}}} or {{{2^(-4.5)}}}<br>