Question

3. Use as propriedades da potenciação para resolver os seguintes itens: a) x5.x².x3 b) (aª)³ c) (y⁹+y5) ÷ y3 d) z-3 e) (a.b.c)²​

Answer 1

$3. \: a) \: {x}^{5} \times {x}^{2} \times {x}^{3} = \\ {x}^{5 + 2 + 3} = \\ {x}^{7 + 3} = \\ {x}^{10}$

$b) \: {( {a}^{a} )}^{3} = \\ {a}^{a \times 3} = \\ {a}^{3a}$

$c) \: \frac{ {y}^{9} \times {y}^{5} }{ {y}^{3} } = \\ \frac{{y}^{3} \times {y}^{6} \times {y}^{5}}{ {y}^{3} } = \\ {y}^{6} \times {y}^{5} = \\ {y}^{6 + 5} = \\ {y}^{11}$

$d) {z}^{ - 3} = \\ {( \frac{z}{1}) }^{ - 3} = \\ {( \frac{1}{z} )}^{3} = \\ \frac{ {1}^{3} }{ {z}^{3} } = \\ \frac{ 1 }{ {z}^{3} }$

e) (a•b•c)² =

a²•b²•c²