Question 1144760
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{{{2^m * (1/8)^n = 128}}}
{{{2^m * (2^-3)^n = 2^7}}}
{{{2^(m-3n) = 2^7}}}
{{{m-3n = 7}}} [1]<br>
{{{4^m / 2^(-4n) = 1/16}}}
{{{(2^2)^m / 2^(-4n) = 2^(-4)}}}
{{{2^(2m) * 2^(4n) = 2^(-4)}}}
{{{2^(2m+4n) = 2^-4}}}
{{{2m+4n = -4}}} [2]<br>
[1] and [2] are a pair of linear equations in m and n.  Solve the pair of equations by your favorite method and evaluate (m-n).