Question

При каком значении m верно равенство: x^8 * x^m = x^24; б) (x^8)^m = x^24; в) (y^m)^5 = y^40; г) y^m * y^5 =y^40.

Answer 1

Ответ:

Объяснение:

а)

$x^8 * x^m = x^{24}\\\\x^m - x^{24-8}\\\\x^m - x^{16} => m = 16$

б)

$(x^8)^m = x^{24}\\\\x^{8m} = x^{24}\\\\x^{m} = x^{24:8}\\\\x^{m} = 3 =>m=3$

в)

$(y^m)^5 = y^{40}\\\\y^{5m} = y^{40}\\\\y^{m} = y^{40:8}\\\\y^{m}=y^5=>m=5$

г)

$y^m * y^5 =y^ {40}\\\\y^m =y^ {40-5}\\\\y^m=y^{35}= >m=35$