Resposta :
Seja [tex]\text{x}=16^{1,25}[/tex]
Observe que:
[tex]1,25=\dfrac{125}{100}=\dfrac{5}{4}[/tex]
Logo:
[tex]\text{x}=16^{1,25}=16^{\frac{5}{4}}[/tex]
Note que:
[tex]16^{\frac{5}{4}}=\sqrt[4]{16^5}=16\cdot\sqrt[4]{16}=16\cdot2=32[/tex].
Logo, [tex]\text{x}=16^{1,25}=32[/tex]