Question

Calculați (9/37)⁶×(37/27)⁶va rog pls​

Answer 1

Răspuns:

Rezolvarea exercitiului:

$( \frac{9}{37} )^{6} \times (\frac{37}{27} )^{6} = \\ \\ = \frac{ {9}^{6} }{ {37}^{6} } \times \frac{ {37}^{6} }{ {27}^{6} } = \\ \\ = \frac{(3^{2} )^{6} }{( {3}^{3})^{6} } = \\ \\ = \frac{ {3}^{12} }{ {3}^{18} } = \\ \\ = \frac{1}{ {3}^{6} }$

Ne reamintim! Regulile de calcul cu puteri:

$a ^{n} \times a ^m = a ^m + n \\ \\ (a ^ m) ^ n = a ^{m \times n} \\ \\ ( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } \\ \\ ( \frac{a}{b} )^{ - 1} = \frac{b}{a}$

Succes! ♡︎♥︎♡︎