If m-1 ~m =5, find : m^4+1 ~m^4 - Vidyadip

Question

If $\mathrm{m}-\frac{1}{\mathrm{~m}}=5$, find $: \mathrm{m}^4+\frac{1}{\mathrm{~m}^4}$

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Answer

$ m^4+\frac{1}{m^4}=\left(m^2+\frac{1}{m^2}\right)^2-2$
$ =(27)^2-2$
$ =729-2$
$ =727$

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