Question

Multiply or divide as indicated
b^3 x b^-3

Answer 1

The domain:
`b\\eq0`

Method 1.

`Use\ a^n\cdot a^m=a^(n+m)\\\\b^3\cdot b^(-3)=b^(3+(-3))=b^(3-3)=b^0=1`

Method 2.

`Use\ a^(-n)=(1)/(a^n)\\\\b^3\cdot b^(-3)=b^3\cdot(1)/(b^3)=(b^3)/(b^3)=1`