Question

$$25 \frac{ \times }{ \frac{ 2 }{ 5 } }$$

Answer

$$(125*^2)/2$$

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{25}{\frac{2}{5}}\]
Invert and multiply.
\[25\times \frac{5}{2}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{25\times 5}{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{25{}^{2}\times 5}{2}\]
Simplify  \(25{}^{2}\times 5\)  to  \(125{}^{2}\).
\[\frac{125{}^{2}}{2}\]