Question

6. Aduceți la forma cea mai simplă:​

Answer 1

$( \frac{5x {}^{2} y {}^{ - 3} }{z} ) {}^{2} \div \frac{(5x) {}^{3}z {}^{ - 2} }{y {}^{5} } \\ \\ = \frac{25x {}^{4} y {}^{ - 6} }{z {}^{2} } \div \frac{125x {}^{3}z {}^{ - 2} }{y {}^{5} } \\ \\ = \frac{25x {}^{4} y {}^{ - 6} }{z {}^{2} } \times \frac{y {}^{5} }{125x {}^{3} z {}^{ - 2} } \\ \\ = \frac{xy {}^{ - 6} }{z {}^{2} } \times \frac{y {}^{5} }{5z {}^{ - 2} } \\ \\ = \frac{xy {}^{ - 6 + 5} }{z {}^{2 - 2} \times 5} \\ \\ = \frac{xy {}^{ - 1} }{ z {}^{0} \times 5 } \\ \\ = \frac{xy {}^{ - 1} }{1 \times 5 } \\ \\ = \frac{xy {}^{ - 1} }{ 5 } \\ \\ = \frac{x}{5y}$