X ^ 2 + 1 / X ^ 2 = 6 Find derefter værdien af X ^ 3-1 / X ^ 3 =?

Svar:

#1/6#

Forklaring:

Givet -

# (X ^ (2 + 1)) / x ^ 2 = 6 #

# X ^ 3 / x ^ 2 = 6 #

# X ^ (3-2) = 6 #

# X = 6 #

Derefter -

# X ^ (3-1) / x ^ 3 = x ^ 2 / x ^ 3 = 6 ^ 2/6 ^ 3 = 1/6 ^ (3-2) = 1/6 #