Oblicz
1. ∛2⁵*2⁴*2³ (to wszystko jest pod pierwiastkiem, tutaj ma wyjść 16)
2.⁴√4³*⁴√9*⁴√6⁶(tutaj ma wyjść 72)
3.∛-60*∛50/∛4*∛6 (tutaj ma wyjść -5
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1. ∛(2⁵*2⁴*2³)=∛(2⁵⁺⁴⁺³) = ∛2¹² = (2¹²)¹/³ = 2⁴=16
2.⁴√4³*⁴√9*⁴√6⁶ = 4³/⁴ * 9¹/⁴ * 6⁶/⁴ = (4³)¹/⁴ * 9¹/⁴ *(6⁶)¹/⁴ =
= (4³ * 9 * 6⁶ )¹/⁴ = (64*9*46656)¹/⁴ =(26873856)¹/⁴ =⁴√26873856 = 72
3.∛-60*∛50/∛4*∛6 = -60¹/³ * 50¹/³ / 4¹/³*6¹/³ = (-60*50)¹/³ / (4*6)¹/³ =
= -3000¹/³ : 24¹/³ = (-3000 : 24)¹/³ = (-125)¹/³=∛-125 = -5
a^m * a^n=a^(m+n)
a^m * b^m = (a*b)^m
a^m: b^m = (a:b)^m
^ potęga