Question

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

Answer 1

The domain: $b\neq0$

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.

$Use\ a^{-n}=\dfrac{1}{a^n}\\\\b^3\cdot b^{-3}=b^3\cdot\dfrac{1}{b^3}=\dfrac{b^3}{b^3}=1$