Question

como posso realizar essa conta??​

Answer 1

Resposta:

$\frac{ - 2a {}^{22}y {}^{12} }{3}$

Explicação passo-a-passo:

$d) \: \: \: ( \frac{2a {}^{4}y {}^{2} }{3} ) {}^{3} \div ( - \frac{4a {}^{5} y {}^{3} }{6} ) {}^{2} =$

$( \frac{2 {}^{3}a {}^{4.3} y {}^{2.3} }{3 {}^{3} } ) \div ( - \frac{4 {}^{2} a {}^{5.2} y {}^{3.2} }{6 {}^{2} } ) =$

$( \frac{8a {}^{12}y {}^{6} }{27} ) \div ( - \frac{16a {}^{10} y {}^{6} }{36} ) =$

$( \frac{8a {}^{12}y {}^{6} }{27} ) \times ( - \frac{9a {}^{10} y {2}^{6} }{4} ) = \frac{ - 72a {}^{12 + 10} y {}^{6 + 6} }{108} = \frac{ - 18a {}^{22} y {}^{12} }{27} = \frac{ - 2a {}^{22} y {}^{12} }{3}$

$bons \: estudos$