+178 A.(-2.5)^3/(-2.5)^-2
Intepretation: \(\frac{\left(-2.5\right)^3}{\left(-2.5\right)^{-2}}\)
The negative second power will be positive, for the third power it is negative.
Rewrite as:\(-\frac{\left(2.5\right)^3}{\left(2.5\right)^{-2}}\)
\(=-\left(2.5\right)^5\)
\(=-97.65625\)
B.(3^3)(3^-6)
Intepretation: \(\frac{3^3}{3^{-6}}\)
\(=3^9\)
\(=19,683\)
C.s^2 t^-1/(s^4 t^4)^1/2
Intepretation: \(\frac{s^2t^{-1}}{\left(s^4t^4\right)^{\frac{1}{2}}}\)
\(=\frac{s^2t^{-1}}{s^2t^2}\)
The \(s^2\) cancels each other out:
\(=\frac{t^{-1}}{t^2}\)
\(=t^{-3}\)
Q.E.D.
