3^-5 : 3^-7–2^-2*2^4 + ((2/3)^-1)^3

Question

3^-5 : 3^-7–2^-2*2^4 + ((2/3)^-1)^3

Answer 1

A^m*a^n=a^(m+n)
a^m:a^n=a^(m-n)
(a^m)^n=a^mn
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3^(-5+7)-2^(-2+4)+(2/3)^-3=3^2-2^2+(3/2)^3=9-4+27/8=5+3 3/8=8 3/8