Simplify \( \frac{b^{7}}{b^{10}} \)

To simplify \( \frac{b^{7}}{b^{10}} \), you can use the property of exponents that states \( \frac{a^{m}}{a^{n}} = a^{m-n} \). Applying this property, you get: \[ \frac{b^{7}}{b^{10}} = b^{7-10} = b^{-3} \] If you want to express \( b^{-3} \) in a positive exponent form, it can be rewritten as \( \frac{1}{b^{3}} \). Thus, the simplified expression is \( \frac{1}{b^{3}} \).