Resposta:
A) 2²
B) 2¹
C) 2²
D) [tex]2^{-1}[/tex]
Explicação passo-a-passo:
A) [tex]2^{\frac{3}{2} } * 2^{\frac{1}{2} } = 2^{\frac{3+1}{2} } =2^{\frac{4}{2} } =2^{2} =4[/tex]
B) [tex]2^{\frac{4}{3} }[/tex] ÷ [tex]2^{\frac{1}{3} } = 2^{\frac{4-1}{3} } =2^{\frac{3}{3} } =2^{1} =2[/tex]
C) [tex](2^{3} )^{\frac{2}{3} } =2^{3*\frac{2}{3} } =2^{\frac{3}{1} *\frac{2}{3} } =2^{\frac{6}{3} } =2^{2} =4[/tex]
D) [tex](2^{2} )^{\frac{-1}{2} } =2^{2*\frac{-1}{2} } =2^{\frac{2}{1}*\frac{-1}{2} } =2^{\frac{-2}{2} } =2^{-1} =\frac{1}{2^{1} } =\frac{1}{2}[/tex]
