Question

Calculați: (23^2018×2^2017):[(46^2)^5]201=​

Answer 1

Răspuns: $\red{\underline{~\bf 23^{8}\cdot2^{7}~}}$

Explicație pas cu pas:

$\bf \big(23^{2018}\cdot2^{2017}\big):\big[\big(46^{2}\big)^{5}\big]^{201}=$

$\bf \big(23^{2018}\cdot2^{2017}\big):\big(46^{2}\big)^{5\cdot201}=$

$\bf \big(23^{2018}\cdot2^{2017}\big):\big(46^{2}\big)^{1005}=$

$\bf \big(23^{2018}\cdot2^{2017}\big):46^{2\cdot 1005}=$

$\bf \big(23^{2018}\cdot2^{2017}\big):46^{2010}=$

$\bf \big(23^{2018}\cdot2^{2017}\big): \big(23\cdot2\big)^{2010}=$

$\bf \big(23^{2018}\cdot2^{2017}\big): \big(23^{2010}\cdot2^{2010}\big) =$

$\bf 23^{2018-2010}\cdot2^{2017-2010} =$

$\red{\underline{~\bf 23^{8}\cdot2^{7}~}}$

$==pav38==$