Question

$$(\frac{3}{5}+\frac{2}{5})\times(\frac{1}{9})^{2}$$

Answer

1/81

Solution


Simplify  \(\frac{3}{5}+\frac{2}{5}\)  to  \(1\).
\[1\times {(\frac{1}{9})}^{2}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[1\times \frac{1}{{9}^{2}}\]
Simplify  \({9}^{2}\)  to  \(81\).
\[1\times \frac{1}{81}\]
Simplify.
\[\frac{1}{81}\]

Decimal Form: 0.012346