Question

$$2 \frac{ \times }{ 4 } \frac{ 3 }{ 4 } \times \frac{ 9 }{ 4 }$$

Answer

$$(54*^2)/64$$

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{2\times 3\times 9}{4\times 4\times 4}\]
Simplify  \(2\times 3\times 9\)  to  \(18\times 3\).
\[\frac{18\times 3}{4\times 4\times 4}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{18{}^{2}\times 3}{4\times 4\times 4}\]
Simplify  \(18{}^{2}\times 3\)  to  \(54{}^{2}\).
\[\frac{54{}^{2}}{4\times 4\times 4}\]
Simplify  \(4\times 4\)  to  \(16\).
\[\frac{54{}^{2}}{16\times 4}\]
Simplify  \(16\times 4\)  to  \(64\).
\[\frac{54{}^{2}}{64}\]