To simplify this expression, we first need to simplify the expression inside the parentheses by multiplying the exponents:
[tex]b^{-22}b^{2} = b^{-4}*b^{2} = b^{-2}[/tex]
Now we can divide this result by [tex]b^{-3}[/tex]:
[tex]\frac{b^{-2}}{b^{-3}} = b^{-2-(-3)} = b^{1} = b[/tex]
Therefore, tex^{2}:b^{-3} = b[/tex].
To simplify this expression, we first need to simplify the expression inside the parentheses by multiplying the exponents:
[tex]b^{-22}b^{2} = b^{-4}*b^{2} = b^{-2}[/tex]
Now we can divide this result by [tex]b^{-3}[/tex]:
[tex]\frac{b^{-2}}{b^{-3}} = b^{-2-(-3)} = b^{1} = b[/tex]
Therefore, tex^{2}:b^{-3} = b[/tex].