Can someone please tell me where am I going wrong?

Solve a

b=a^3/\sqrt[3]{a}

b= a^3/1/a^3

b= a^3*1/a^3/1/a^3*1/a^3

b= a^3/1*1/a^3

b=1

This is not right ... don't know where to start or where to go with it.

c = b^-2/\sqrt[3]{a}

c = 1/b^2/*c^1/2

c = 1/b^2*b^2/1*a^1/2

c = b^2*a^1/2

c = b^2*a^1/2/b^2

c/b^2 = a^1/2

a^1/2 = c/b^2

I am going way off the tracks here, please correct me.

Thanks in advance - Roux