Question

22) Simplifique A- (7²)³/ 7³)² B-(3.5²)³/(3².5)²

Answer 1

$a) \frac{ {( {7}^{2} )}^{3} }{ {( {7}^{3} )}^{2} } = \frac{ {7}^{6} }{ {7}^{6} } = { \frac{7}{7} }^{6} ou \: {7}^{6 - 6} = {1}^{6} \: ou \: {7}^{0} = 1 \\ b) \: \frac{ ({3 \times {5}^{2}) }^{3} }{ ({5 \times {3}^{2}) }^{2} } = \frac{ { 3}^{3} \times {5}^{6} }{ {3}^{4} \times {5}^{2} } = \frac{ {3}^{3} }{ {3}^{4} } \times \frac{ {5}^{6} }{ {5}^{2} } = {3}^{(3 - 4)} \times {5}^{(6 - 2)} = {3}^{( - 1)} \times {5}^{4} = - \frac{1}{3} \times {5}^{4} = \frac{ {5}^{4} }{3} = \frac{625}{3}$
Aqui vai a minha resolução