$3^{-2}$ + $\frac{200}{9}$% of 364
You asked:
Evaluate the expression: \({3}^{-2} + \frac{\frac{200}{9}}{100} \cdot 364\)
MathBot Answer:
\[{3}^{-2} + \frac{\frac{200}{9}}{100} \cdot 364 = 81\]
\[\begin{aligned}{3}^{-2} + \frac{\frac{200}{9}}{100} \cdot 364& = \frac{1}{3^{2}} + \frac{200}{9} \cdot \frac{364}{100}\\& = \frac{1}{9} + \frac{200}{9} \cdot \frac{364}{100}\\& = \frac{1}{9} + \frac{2}{9} \cdot 364\\& = \frac{1}{9} + \frac{728}{9}\\& = 81\end{aligned}\]