Question

Utilize as propriedades de potência e simplifique as questões .​

Answer 1

Resposta:

$a) \: \frac{ {x}^{5} }{ {x}^{2} } \times \frac{ {x}^{7} }{ {x}^{4} } \\ \\ {x}^{5 - 2} \times {x}^{7 - 4} \\ {x}^{3} \times {x}^{3} = x {}^{6} \\ \\ b) \: \frac{ {3}^{2} \times {3}^{5} }{ {3}^{8} } \\ \\ \frac{3 {}^{2 + 5} }{ {3}^{8} } \\ \\ \frac{ {3}^{7} }{ {3}^{8} } \\ \\ 3 {}^{7 - 8} \\ \\ 3 {}^{ - 1} \\ \\ \frac{1}{3 {}^{1} } \\ \\ \frac{1}{3} \\ \\ c) \: ( - 2)( - 2) - {2}^{ - 1} \\ 4 - \frac{1}{2} \\ \frac{8 - 1}{2} \\ \frac{7}{2} \\ \\ d) \: 11 {}^{8} \times 11 {}^{ - 7} = 11 {}^{8 + ( - 7)} \\ 11 {}^{8 - 7} = 11 {}^{1} = 11$