Question

Simplifique, aplicando a propriedade de potência.

Answer 1

$a) \\ \\ {3}^{5} \cdot {7}^{5} \cdot{3}^{2} \cdot {7}^{2} = \\ \\ {3}^{5 + 2} \cdot {7}^{5 + 2} \\ \\ {3}^{7} \cdot {7}^{7}$

$b) \\ \\ 5 \cdot2 \cdot {x}^{1 + 2} \cdot {y}^{2 + 3} = \\ \\ 10 \cdot {x}^{3} \cdot {y}^{5}$

$c) \\ \\ { ({a}^{2}) }^{2}\cdot {b}^{2} \cdot {a}^{3} \cdot {b}^{3} = \\ \\ {a}^{4 + 3} \cdot {b}^{2 + 3} = \\ \\ {a}^{7} \cdot {b}^{5}$

$d) \\ \\ {7}^{2} \cdot {x}^{2} \cdot {y}^{4} \cdot {x}^{12} \cdot {y}^{8} = \\ \\ {7}^{2} \cdot {x}^{12 + 2} \cdot {y}^{4 + 8} = \\ \\ {7}^{2} \cdot {x}^{14} \cdot {y}^{12}$