(5$^{-2}$) (5 $^{0}$) (5$^{3}$)
You asked:
Evaluate the expression: \({5}^{-2} \cdot {5}^{0} \cdot {5}^{3}\)
MathBot Answer:
\[{5}^{-2} \cdot {5}^{0} \cdot {5}^{3} = 5\]
\[\begin{aligned}{5}^{-2} \cdot {5}^{0} \cdot {5}^{3}& = \frac{1}{5^{2}} \cdot 5^{0} \cdot 5^{3}\\& = \frac{1}{25} \cdot 5^{0} \cdot 5^{3}\\& = \frac{1}{25} \cdot 5^{3}\\& = \frac{1}{25} \cdot 125\\& = \frac{125}{25}\\& = 5\end{aligned}\]