maths
posted by jenny on .
prove that if a is not equal to zero and if a * b = a * c and a ^ b = a ^ c then b = c [Hint: calculate a * (bc) and a ^ (bc) vectors mechanics

a*b = a*c
a*b  a*c = 0
a*(bc) = 0
if a≠0, bc = 0, since the product is zero.
bc = 0
b = c
a^b = a^c
a^b / a^c = 1
a^(bc) = a^0
bc = 0
b = c