So sánh: (−0,1)^2 . (−0,1)^4 và [ ( - 0,1)^3 ]^2

Lời giải:

Ta có (−0,1)² . (−0,1)⁴ = (−0,1)^{2 + 4} = (−0,1)⁶;

\({\left[ {{{\left( { - 0,1} \right)}^3}} \right]^2} = {\left( { - 0,1} \right)^{3\,.\,2}} = {\left( { - 0,1} \right)^6}\).

Vậy \({\left( { - 0,1} \right)^2}.{\rm{ }}{\left( { - 0,1} \right)^4} = {\left[ {{{\left( { - 0,1} \right)}^3}} \right]^2}\).