Question

Como calcular as potências (2,5)3

Answer 1

$\sf\: (2.5) {}^{3} \\ \\ \sf\: \frac{25}{10} \div (5) \\ \\ \\ \sf\: \Bigg( \frac{5}{2} \Bigg) {}^{3} \\ \\ \\ \sf\: \frac{5 {}^{3} }{2 {}^{3} } \\ \\ \\ \sf\: \frac{5 \cdot 5 \cdot5}{2 {}^{3} } \\ \\ \\ \sf\: \frac{5 \cdot5 \cdot5}{2 \cdot2 \cdot2} \\ \\ \\ \sf\: \frac{25 \cdot5}{2 \cdot2 \cdot2} \\ \\ \\ \sf\: \frac{125}{4 \cdot2} \\ \\ \\ \boxed{\sf \frac{125}{8}} \\ \\ \\ \sf\: 125 \div 8 \\ \\ \\ \boxed{\sf15.625}$

Att: Nerd1990