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(-9r^(2)s^(6)t^(4))/(54r^(5)s^(2)t^(8))

−9r2s6t454r5s2t8\frac{-9r^{2}s^{6}t^{4}}{54r^{5}s^{2}t^{8}}

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Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. −9r2s6t454r5s2t8\frac{-9r^{2}s^{6}t^{4}}{54r^{5}s^{2}t^{8}}
  1. Simplify Coefficients and Variables: Simplify the coefficients and variables separately.−954=−16\frac{-9}{54} = -\frac{1}{6}, r2r5=r−3=1r3\frac{r^{2}}{r^{5}} = r^{-3} = \frac{1}{r^3}, s6s2=s4\frac{s^{6}}{s^{2}} = s^{4}, t4t8=t−4=1t4\frac{t^{4}}{t^{8}} = t^{-4} = \frac{1}{t^4}.
  2. Combine Simplified Parts: Combine the simplified parts.\newline(−16)(1r3)(s4)(1t4)=−s46r3t4(-\frac{1}{6})(\frac{1}{r^3})(s^4)(\frac{1}{t^4}) = -\frac{s^4}{6r^3t^4}.

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