((3^-2)^2*5^2)^-3*(t^-3)^2/((3^-2)^2*5^2)^-2*(t^-4)^3
You asked:
Evaluate the expression: \(\frac{{\left( {{3}^{-2}}^{2} \cdot {5}^{2} \right)}^{-3} \cdot {{t}^{-3}}^{2}}{{\left( {{3}^{-2}}^{2} \cdot {5}^{2} \right)}^{-2}} \cdot {{t}^{-4}}^{3}\)
MathBot Answer:
\[\frac{{\left( {{3}^{-2}}^{2} \cdot {5}^{2} \right)}^{-3} \cdot {{t}^{-3}}^{2}}{{\left( {{3}^{-2}}^{2} \cdot {5}^{2} \right)}^{-2}} \cdot {{t}^{-4}}^{3} = \frac{81}{25 t^{18}}\]