Question

Simplifique
A)(7²)³/(7³)²

B)(3.5²)³/(3².5)²

Answer 1

a.

$\frac{( { {7}^{2}) }^{3} }{( { {7}^{3} )}^{2} } = \frac{ {7}^{6} }{ {7}^{6} } = {7}^{6} \div {7}^{6} = {7}^{1 } = 7$

b.

$\frac{(3. {5 {}^{2} )}^{3} }{( {3}^{2}.5) {}^{2} } = \frac{ {3}^{3} . {5}^{6} }{ {3}^{4}. {5}^{2} } = \frac{ {5}^{6} \div {5}^{2} }{ {3}^{4} \div {3}^{4} } = \frac{ {5}^{4} }{ {3}^{1} } = {5}^{4} \times {3}^{1} = 625 \times 3 = 1.875$

625×3=1,875