Question

$$\frac{ 8 }{ 6 } \frac{ \frac{ \times }{ } }{ } 9$$

Answer

$$(36*^2)/3$$

Solution


Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{8}{6}\times 9\]
Simplify  \(\frac{8}{6}\)  to  \(\frac{4}{3}\).
\[\frac{4}{3}\times 9\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{4\times 9}{3}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{4{}^{2}\times 9}{3}\]
Simplify  \(4{}^{2}\times 9\)  to  \(36{}^{2}\).
\[\frac{36{}^{2}}{3}\]