Question

$$\frac{[\frac{-3}{4}]^{4}\times\frac{125}{27}}{[\frac{5}{3}]^{2}\times[\frac{9}{14}]}$$

Answer

$$([-375/(4]^4*27))*(3]^2*14])/([5*[9)$$

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
(\(-(3\times 125)/\)^4*27))/(\(\frac{5}{3}\)^2*\(\frac{9}{14}\))
Simplify  \(3\times 125\)  to  \(375\).
(\(-375/\)^4*27))/(\(\frac{5}{3}\)^2*\(\frac{9}{14}\))
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
(\(-375/\)^4*27))/((\(5\(9\\)))
Invert and multiply.