Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$18 \frac{ \times 250 }{ 300 } \frac{ \times 10 }{ 8 } \frac{ \times 14560 }{ 9100 }$$

Answer

$$(655200000*^3)/21840000$$

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{18\times 250\times 10\times 14560}{300\times 8\times 9100}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{18{}^{3}\times 250\times 10\times 14560}{300\times 8\times 9100}\]
Simplify  \(18{}^{3}\times 250\times 10\times 14560\)  to  \(655200000{}^{3}\).
\[\frac{655200000{}^{3}}{300\times 8\times 9100}\]
Simplify  \(300\times 8\)  to  \(2400\).
\[\frac{655200000{}^{3}}{2400\times 9100}\]
Simplify  \(2400\times 9100\)  to  \(21840000\).
\[\frac{655200000{}^{3}}{21840000}\]
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