Question

(( (5^(m+1)^3)*(1/2)^-(3m))/10^(3m))^(1/3)=?

Answer 1

$left(frac{(5^{m+1})^3left(frac{1}{2}right)^{-3m} }{10^{3m}}right) ^{frac{1}{3}}=frac{left((5^{m+1})^3right)^{frac{1}{3}} left(left(frac{1}{2}right)^{-3m} right)^{frac{1}{3}} }{left(10^{3m}right) ^{frac{1}{3}}} =frac{5^{m+1}left(frac{1}{2}right)^{-m} }{10^m}=\\frac{5cdot5^{m}cdot2^{m} }{10^m}=frac{5cdot(5cdot2)^{m} }{10^m}=frac{5cdot10^{m}}{10^m}=5$