Simplify (7s^0t^-5)/(2^-1m^2)

$\frac{7 s^{0} t^{- 5}}{2^{- 1} m^{2}}$

Move $t^{- 5}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{7}{2^{- 1} m^{2} t^{5}}$

Move $2^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{7 \cdot 2}{m^{2} t^{5}}$

Multiply $7$ by $2$ .

$\frac{14}{m^{2} t^{5}}$