Question

simplifique as expressões a seguir:​

Answer 1

$a) \\ \frac{({x}^{2}y)^{3}}{ {x}^{3}y } = \\ \\ \frac{{x}^{6} {y}^{3} }{ {x}^{3}y } = \\ \\ {x}^{3} {y}^{2} \\ \\ b) \\ \frac{( {a}^{2} \times {b}^{ - 1})^{3} \times ( {a}^{ - 3} \times {b}^{2})^{2} }{b} = \\ \\ \frac{ {a}^{6} \times {b}^{ - 3} \times {a}^{ - 6} \times {b}^{4} }{ {b}^{1} } = \\ \\ \frac{ {a}^{6 + ( - 6)} \times {b}^{ - 3 + 4} }{ {b}^{1} } = \\ \\ \frac{ {a}^{0} \times {b}^{1} }{ {b}^{1} } = \\ \\ \frac{1 \times {b}^{1} }{ {b}^{1} } = \\ \\ \frac{ {b}^{1} } {{b}^{1} } = \\ \\ {b}^{1 - 1} = \\ \\ {b}^{0} = \\ \\ 1 \\ \\ c) \\ \frac{ {3}^{n + 1} + 2 \times {3}^{n} }{ {3}^{n} } = \\ \\ \frac{ {3}^{n + 1} }{ {3}^{n} } + 2 \times \frac{ {3}^{n} }{ {3}^{n} } = \\ \\ {3}^{n + 1 - n} + 2 \times {3}^{n - n} = \\ \\ {3}^{1} + 2 \times {3}^{0} \\ \\ 3 + 2 \times 1 = \\ \\ 3 + 2 = \\ \\ 5$