SOLUTION: Let G be a group and let a b be some elements of G. Prove or disprove the following statement: If a^3= b^3 then a=b

SOLUTION: Let G be a group and let a b be some elements of G. Prove or disprove the following statement: If a^3= b^3 then a=b

Algebra.Com

Question 465450: Let G be a group and let a b be some elements of G. Prove or disprove the following statement: If a^3= b^3 then a=b
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
a3=b3
∛a3=∛b3
∛(a*a*a)=∛(b*b*b)
a=b..
RELATED QUESTIONS
Let g and h be elements of a group G. show |(g)*(h)*(g(inverse))| =... (answered by venugopalramana)

From Abstract Algebra class. Consider Z9 - { [ 0 ] } with respect to multiplication [... (answered by ikleyn)

Let g and h be elements of a group G. How do i show |g(inverse)| =... (answered by venugopalramana)

Let a,b,c,d,e,f,g,h be the distinct elements in the set {-7,-5,-3,-2,2,4,6,13}.Find the... (answered by Edwin McCravy,MathLover1)

This is my question: Suppose that G is a group and g,h are elements of G. There exists a (answered by robertb)

Could you please help me prove the following mathematical statement. Let p be a prime... (answered by richard1234)

Let f(x)=x^+3 and g(x)=-2x+6 find each of the following: a.) (f+g)(-5) b.) (fg)(-3) (answered by Alan3354)

Let h and j be function whose first and second derivatives exist on interval I. Which of... (answered by robertb)

IS MY ANSWER RIGHT? Let the Universal set be the letters a through j: U = {a, b,... (answered by Fombitz,josgarithmetic)