Question

Simplify (0.064)-^1/3

Answer 1

`(0.064)^{-(1)/(3)}\implies \left( \cfrac{64}{1000} \right)^{-(1)/(3)}\implies \left( \cfrac{1000}{64} \right)^{+(1)/(3)}\implies \left( \cfrac{10^3}{4^3} \right)^{(1)/(3)} \\\\\\ \cfrac{10^{3\cdot (1)/(3)}}{4^{3\cdot (1)/(3)}}\implies \cfrac{10}{4}\implies \cfrac{5}{2}\implies 2(1)/(2)`